Answer
x=-4 or $-\frac{1}{3}$.
Work Step by Step
Solve the equation: |2x-3|=|4x+5|
2 solutions:
2x-3=4x+5 or 2x-3=-(4x+5)
-2x-3=5
$\frac{-2x}{-2}$=$\frac{8}{-2}$
x=-4
2x-3=-(4x+5)
2x-3=-4x-5
6x-3=-5
$\frac{6x}{6}$=$\frac{-2}{6}$
x=$-\frac{1}{3}$
x=-4 or $-\frac{1}{3}$
