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91Ó°ÊÓ

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

2=35x-13x+25x

Short Answer

Expert verified

Thesolutionforthegivenequationisx=3

Step by step solution

01

Step 1. Given information

The given equation is2=35x-13x+25x

We have to solve the given equation.

02

Step 2. Explanation

Solve:2=35x-13x+25x⇒2=35x-13x+25x(FindtheLCDofallfractionsintheequation)TheLCDis15.⇒15×(2)=15×(35x-13x+25x)(Muliplybothsidesoftheequationby15)⇒15×(2)=15×35x-15×13x+15×25x(Distribute)⇒30=9x-5x+6x(Simplify)⇒30=10x(Combinetheliketerms)⇒3010=1010x(Dividebothsidesby10)⇒3=xThesolutionforthegivenequationisx=3

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