*x*| = 3 then the question is, “what number can

*x*be so that the distance to zero is 3?” There are two solutions to this question -3 and 3.

In general,

Here *n*is a positive integer and

*X*represents an algebraic expression called the argument of the absolute value. To solve these equations, set the argument equal to plus or minus

*n*and solve the resulting equations.

**Instructional Video**: Absolute Value Equations

**Solve**.

This technique requires us to first isolate the absolute value. Apply the usual steps for solving to obtain the absolute value alone on one side of the equation, and then set the argument to plus or minus

*n.*

**Solve**.