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Borough of Manhattan Community College

Pre-Algebra: Lesson 085

Multi-Step Equations
Equations with the Variable on Both Sides

Lesson Description

Students learn to solve equations with the variable on both sides. For example, to solve 3n + 11 = 1 - 2n, first put the variable terms together on one side of the equation by adding 2n to both sides, to get 5n + 11 = 1. Next, put the numbers together on the other side of the equation by subtracting 11 from both sides, to get 5n = -10. Finally, divide both sides by 5, to get n = -2. Note that students check all solutions by substituting the solution back in for the variables in the original equation.

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