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

Ronnie Baur 2021-12-03 Answered
Solve the following absolute value equation.
|3x+22|=|2x33|
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Expert Answer

pendukke
Answered 2021-12-04 Author has 9 answers
Step 1:-
Given:
|3x+22|=|2x33|
Step 2:-
Solution:
|3x+22|=|2x33|
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=126
x=-6
This is the absolute value of given equation.
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