Practice Solving Linear Equations in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The process of finding the value of the variable that makes a linear equation true, using inverse operations to isolate the variable on one side of the equals sign. A linear equation has the variable raised only to the first power, producing exactly one solution.

Undo what's done to x by doing the opposite: if x + 5, subtract 5.

Example 1

easy
Solve 3x + 7 = 22.

Example 2

medium
Solve 2(x - 3) + 4 = 3x - 8.

Example 3

medium
Solve 2(3x - 4) = 5x + 6.

Example 4

easy
Solve 5x - 3 = 12.

Example 5

hard
Solve \frac{2x + 1}{3} = \frac{x - 2}{2}.