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91Ó°ÊÓ

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

0.8x−0.3=0.7x+0.2

Short Answer

Expert verified

Thesimplifiedvalueisx=5

Step by step solution

01

Step 1. Given information 

The given equation is 0.8x−0.3=0.7x+0.2

We have to solve the given equation.

02

Step 2. Explanation

Solve:0.8x−0.3=0.7x+0.2⇒10(0.8x−0.3)=10(0.7x+0.2)(MultiplybytheLCD,10)⇒10×0.8x−10×0.3=10×0.7x+10×0.2(Distribute)⇒8x−3=7x+2(Multiply)⇒8x−7x−3=7x−7x+2(Subtract7xfrombothsides)⇒1x−3=2(Simplify)⇒1x−3+3=2+3(Add3tobothsides)⇒1x=5(Simplify)Thesimplifiedvalueisx=5

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