Ronnie Baur
2021-12-03
Answered

Solve the following absolute value equation.

$\left|\frac{3x+2}{2}\right|=\left|\frac{2x-3}{3}\right|$

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pendukke

Answered 2021-12-04
Author has **9** answers

Step 1:-

Given:

$\left|\frac{3x+2}{2}\right|=\left|\frac{2x-3}{3}\right|$

Step 2:-

Solution:

$\left|\frac{3x+2}{2}\right|=\left|\frac{2x-3}{3}\right|$

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.

Given:

Step 2:-

Solution:

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=-6

This is the absolute value of given equation.

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