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Chapter 2: Q. 454 (page 208)

In the following exercises, solve.

|6x鈭�5|=|2x+3|

Short Answer

Expert verified

The solution isx=2orx=14

Step by step solution

01

Step 1. Given Information

Absolute value equation:|6x鈭�5|=|2x+3|

02

Step 2. Calculation

We have,

|6x鈭�5|=|2x+3|6x-5=2x+3or6x-5=-(2x+3)6x-5+5=2x+3+5or6x-5+5=-2x-3+56x=2x+8or6x=-2x+26x-2x=2x+8-2xor6x+2x=-2x+2+2x4x=8or8x=2x=84orx=28x=2orx=14

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