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91Ó°ÊÓ

In the following exercises, solve each equation with fraction coefficients

3x−25=3x+48

Short Answer

Expert verified

Thesimplifiedvalueisx=4

Step by step solution

01

Step 1. Given information

The given equation is3x−25=3x+48

We have to sovle the given equation.

02

Step 2. Explanation

Solve:3x−25=3x+48⇒8(3x−2)=5(3x+4)(Crossmulitply)⇒8×3x−8×2=5×3x+5×4(Distribute)⇒24x−16=15x+20(Simplify)⇒24x−15x−16=15x−15x+20(Subtract15xfrombothsides)⇒9x−16=20(Simplify)⇒9x−16+16=20+16(Add16tobothsides)⇒9x=36(Simplify)⇒9x9=369(Multiplybothsidesby9)⇒x=4(Simplify)Thesimplifiedvalueisx=4

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