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Algebra I
Linear Functions, Equations, and Inequalities
20. TX.A1.5.A
20.1 Solving linear equations using multiplication and division
Solving Equations with Multiplication and Division
Undo multiplication with division, and undo division with multiplication, applying the same step to both sides.
What You'll Learn
If x is multiplied by a number, divide both sides by that number to solve.
If x is divided by a number, multiply both sides by that number to solve.
The same operation must be applied to both sides to keep the equation balanced.
Example: 3x = 12 becomes x = 4 by dividing both sides by 3.
Always check the solution by substituting it back into the original equation.
What You'll Practice
1
Solving equations by dividing both sides to remove coefficients
2
Solving equations by multiplying both sides to eliminate denominators
3
Cross-multiplying to solve fractional equations
4
Working with decimal coefficients and mixed numbers in equations
Why This Matters
Solving linear equations using multiplication and division is essential for every branch of algebra and beyond. You'll use these techniques constantly in solving formulas, working with proportions, and tackling real-world problems like calculating discounts, converting units, and analyzing data.
Before You Start — Make Sure You Can:
This Unit Includes
9 Video lessons
Practice exercises
Learning resources
Skills
Linear Equations
Inverse Operations
Multiplication
Division
Cross-Multiplication
Fractions
Decimals
Variable Isolation
TX Curriculum Aligned