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Chapter 2: Q. 361 (page 264)

In the following exercise, solve each equation with decimal coefficients.

0.48x+1.56=0.58x-0.64

Short Answer

Expert verified

Thesolutionforthegivenequationisx=22

Step by step solution

01

Step 1. Given information

The given equation is0.48x+1.56=0.58x-0.64

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.48x+1.56=0.58x-0.64鈬�100脳(0.48x+1.56)=100脳(0.58x-0.64)(MultiplyebyLCD,100)鈬�100脳(0.48x)+100脳(1.56)=100脳(0.58x)-100脳(0.64)(Distribute)鈬�48x+156=58x-64(Multiply)鈬�48x-48x+156=58x-48x-64(Subtract48xfrombothsides)鈬�156=10x-64(Simplify)鈬�156+64=10x-64+64(Add64tobothsides)鈬�220=10x(Simplify)鈬�22010=10x10(Divideby10tobothsides)鈬�22=x(Simplify)Thesolutionforthegivenequationisx=22

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