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Overview
7th Grade Math
Expressions, Equations, and Relationships
22. TX.7.10.A
22.3 Solving two-step linear equations using multiplication and division: x/a + b = c
Solving Two-Step Equations with Division: x/a + b = c
A clear walkthrough for solving two-step equations shaped like x divided by a, plus b, equals c, using inverse operations in the right order.
What You'll Learn
Equations shaped like x/a + b = c require two inverse operations undone in reverse order of operations
Always isolate the division term first by subtracting or adding b from both sides
Then multiply both sides by a to clear the division and solve for x
Checking your answer by substituting it back into the original equation catches most mistakes
This method builds directly on one-step equations and leads into two-step equations with addition and subtraction
What You'll Practice
1
Solving equations with variables divided by positive and negative numbers
2
Isolating x when equations are written in reverse order
3
Working with real-world word problems involving formulas and substitution
4
Handling equations with negative coefficients and multiple operations
Why This Matters
Mastering two-step equations with multiplication and division builds your algebraic problem-solving toolkit for science formulas, real-world applications, and advanced math courses. You'll use these skills to solve rate problems, conversion formulas, and equations in physics and chemistry.
This Unit Includes
9 Video lessons
Practice exercises
Learning resources
Skills
Two-Step Equations
Division
Multiplication
Reverse BEDMAS
Isolating Variables
Linear Equations
Word Problems
TX Curriculum Aligned