# Solve the following absolute value equation. |\frac{3x+2}{2}|=|\frac{2x-3}{3}|

Solve the following absolute value equation.
$|\frac{3x+2}{2}|=|\frac{2x-3}{3}|$
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pendukke
Step 1:-
Given:
$|\frac{3x+2}{2}|=|\frac{2x-3}{3}|$
Step 2:-
Solution:
$|\frac{3x+2}{2}|=|\frac{2x-3}{3}|$
By using cross−multiplication.
(3x+2)3=(2x-3)2
9x+6=4x-6
Now combine the terms.
9x-4x=-6-6
6x=-12
$x=-\frac{12}{6}$
x=-6
This is the absolute value of given equation.