 # Techniques for Solving Equations

Related Topics:
More Lessons for Algebra I
More Lessons for Algebra
Math Worksheets

A series of free, online Basic Algebra Lessons or Algebra I lessons.
Examples, solutions, videos, worksheets, and activities to help Algebra students.

In this lesson, we will learn

• how to solve an equation with parentheses
• how to solve an equation with variable terms on both sides
• how to solve an equation with parentheses and variable terms on both sides
Solving Multi Step Equations
It can be difficult to understand solving multi step equations, but after learning how to solve one step and two step equations this is the final step in learning how to solve for a variable. Solving multi step equations is an important skill that involves using additive and multiplicative inverses and the variable that makes the equation true.

How to solve multi-step linear equations?
Goal: Isolate the variable on one side of the equation.
1. Clear fractions or decimals
2. Clear parenthesis
3. Get the variable terms on one side
5. Undo multiplication or division

Ex 1: Solve an Equation with Parentheses
This video provides an example of how to solve a linear equation in one variable that contains parentheses.
Example:
Solve: 2(8x + 16) = 64
Ex 2: Solve an Equation with Parentheses
This video provides an example of how to solve a linear equation in one variable that contains parentheses.
Example:
Solve: 4(3x - 7) = -44

Ex: Solve an Equation with Variable Terms on Both Sides
This video provides an example of how to solve a linear equation in one variable that has variable terms on both sides
Example:
Solve: 8(2x + 5) = 5 - 2(2x - 1) Ex: Solving a Multi-Step Linear Equation in One Variable
This video explains how to solve a multi-step linear equation in one variable with parentheses and variables on both sides of the equation.
Example:
Solve: 8(x + 2) + 3 = -2(x - 4) - 11 Ex 1: Solve an Equation with Variables and Parentheses on Both Sides
This video provides an example of solving a linear equation in one variable that contains variable terms and parentheses on both sides of the equation. Ex 2: Solve an Equation with Variables and Parentheses on Both Side
This video provides an example of solving a linear equation in one variable that contains variable terms and parentheses on both sides of the equation. Solving Multiple Step Equations - Summary

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.  