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In the following exercise, solve the following equations with variables and constants on both sides.

6.6x-18.9=3.4x+54.7

Short Answer

Expert verified

The solution for the given equation isx=23

Step by step solution

01

Step 1. Given information

The given equation is6.6x-18.9=3.4x+54.7

We have to solve the given equation.

02

Step 2. Explanation

⇒6.6x-18.9=3.4x+54.7⇒6.6x-3.4x-18.9=3.4x-3.4x+54.7(Subtract3.4xfromboththesides)⇒3.2x-18.9=54.7(Simplify)⇒3.2x-18.9+18.9=54.7+18.9(Add18.9toboththesides)⇒3.2x=73.6(Simplify)⇒3.2x3.2=73.63.2(Dividebothsidesby2.1)⇒x=23(Simplify)Thesolutionisr=23

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