
Related:
 Absolute Value Equations Worksheet(pdf with answer key on this page's topic)
 how to solve absolute value inequalities
The General Steps to solve an absolute value equation are:
 Rewrite the absolute value equation as two separate equations, one positive and the other negative
 Solve each equation separately
 After solving, substitute your answers back into original equation to verify that you solutions are valid
 Write out the final solution or graph it as needed
It's always easiest to understand a math concept by looking at some examples so, check out both of the examples below.
Absolute Value Equations Solver
Enter any any values and this solver will calculate the solution(s) for your equation and show all work, including checking for extraneous solutions! AX + B = D
Answer
Example Equation
Example 1
Solve the equation: X + 5 = 3
Click here to practice more problems like this example, problems that involve variables on 1 side of the equation.
Example 2
Some absolute value equations have variables both sides of the equation. However, that will not change the steps we're going to follow to solve the problem as the example below shows:
Solve the equation: 3X = X − 21
Practice Problems
Problem 1
Solve the following absolute value equation:  5X +20 = 80
Problem 2
Solve the following absolute value equation:  X  + 3 = 2X
This first set of problems involves absolute values with x on just 1 side of the equation (like example 2).
Problem 3
Solve the following absolute value equation: 3X −6  = 21