**Solving │ax + b│ = │cx + d│**

To solve an absolute value equation of the form

│ax + b│ = │cx + d│,

Solve the compound equation

ax + b = cx + d or ax + b = – (cx + d).

**Special Cases for Absolute Value**

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**1. **The absolute value of an expression can never be negative: │a│ ≥ 0 for all real numbers *a*.

**2. **The absolute value of an expression equals 0 only when the expression is equal to 0.