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Chapter 2: Q. 452 (page 208)

In the following exercises, solve.

3x-2=2x-3

Short Answer

Expert verified

The solution isx=1orx=-1

Step by step solution

01

Step 1. Given Information

Absolute value equation:3x-2=2x-3

02

Step 2. Calculation

We have,

3x-2=2x-33x-2=2x-3or3x-2=-(2x-3)3x-2+2=2x-3+2or3x-2+2=-2x+3+23x=2x-1or3x=-2x+53x-2x=2x-1-2xor3x+2x=-2x+5+2xx=-1or5x=5orx=1

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