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Master Linear Equations with Variables on Both Sides

BC Grade 9 Math: Master Essential Skills & Concepts

Rational Numbers

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Comparing and ordering rational numbers

Comparing decimal numbers

Comparing fractions

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Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Solving problems with rational numbers in fraction form

Operations with fractions

Determine square roots of rational numbers

Square roots of rational numbers

Power and Exponents

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Using exponents to solve problems

Scale Factors and Similarity

Enlargements and reductions with scale factors

Scale diagrams

Similar triangles

Similar polygons

Polynomials

Characteristics of polynomials

What are polynomials

Equivalent expressions of polynomials

Adding and subtracting polynomials

Multiplication and Division of Polynomials

Multiplying and dividing polynomials

Divide a monomial by a monomial

Multiply a monomial by a monomial

Multiplying polynomials by monomials

Multiply a polynomial by a monomial

Dividing polynomials by monomials

Linear Relations

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

Solving linear equations by graphing

Solving Linear Equations

Solving linear equations using multiplicattion and division

Solving linear equations using multiplication and division

Two-step Linear Equations LHS

Two-step Linear Equations RHS

Solving two-step Linear equations: ax+b = c, x/a +b = c

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property a(x+b)=c

Solving linear equations using distributive property: a(x + b) = c

Solving linear equations with variables on both sides

Solving literal equations

Data Collection

Influencing factors in Data Collection

Influencing factors in data collection

Probability

BC Grade 9 Math

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Intro

- Hi, welcome to this question right here. So, wow! We've got two different numbers here. They both have x, right? So, remember, before you do anything, you're supposed to do something that's called factor, there's nothing we can factor here but, collecting the like terms, okay? 
So, I see there's an x over here and an x over here. They both have x, they're both the like terms, you need to put them together. Now, you have two choices. You can either bring this guy over here, or we can bring this guy over here. My suggestion is take the higher negative, bring it over to the other side. And why is that? Because it will become positive, okay? Because you will end up by a positive 3.7 subtract a 3.4. So, you want to end up. . . You will end up with a positive number. So, let's give it a try. Let's do it the regular way. Let's add a 3.7x to the both sides of the equation, okay? So, that cancels this guy right here. So, you end up with 3.7x minus the 3.4x is equal to the 6.3 now, okay? 
So, what happens is you can now collect the like terms. That 3.7, that 3.4, they're both subtracting each other and they're both x and x. So, since you're doing the like terms, what we're going to do is, we're just gonna subtract them. So, 3.7 minus 3.4, what you have is 0.3x equals to the 6.3. To solve the x in this question here, if you do the regular way, you would divide both sides by a 0.3, okay? That cancels that, you're left with just x equals to 6.3 divided by .3 is just 21. And that is the final answer for this question. Thanks for watching.

Solving a decimal linear equation with variables on both sides

Solving a linear equation with fractions and variables on both sides

Solving a fraction equation with brackets using cross-multiplication

Solving a decimal linear equation by collecting variable terms

Solving an equation with mixed fractions and brackets on both sides

Solving a linear equation with fractions on both sides

Solving a linear equation with mixed fractions on both sides

Calculating the distance from Mary's home to school

Word problem: Finding biking time using equal distances

Modeling revenue and area word problems as quadratic functions

When you want to solve a linear equation with variables on both sides, the first step is to isolate the variables to one side. Once you have done that, we can do subtraction, addition, cross multiplication, or any other necessary steps to solve the equation.

Solving two-step linear equations: ax + b = c, x/a + b = c

Solving linear equations using distributive property: a(x + b) = c

Solving Linear Equations with Variables on Both Sides

What You'll Learn

Isolate variable terms to one side of the equation using inverse operations

Apply addition, subtraction, multiplication, and division to solve for the variable

Combine like terms when variables appear on both sides of an equation

Verify solutions by substituting values back into the original equation

Solve equations involving decimals, fractions, and mixed numbers

What You'll Practice

Solving equations with decimal coefficients on both sides

Working with fractions and finding common denominators before solving

Expanding brackets and collecting like terms to isolate variables

Solving word problems involving distance, speed, and time relationships

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

12 Video lessons

Practice exercises

Learning resources

Skills

Linear Equations

Variable Isolation

Like Terms

Inverse Operations

Fractions

Decimals

Word Problems