Solve:c+34=12c-14

Short Answer

Expert verified

Thesolutionforthegivenequationisc=-2

Step by step solution

01

Step 1. Given information

The given equation isc+34=12c-14

We have to solve the given equation.

02

Step 2. Explanation

Solve:c+34=12c-14c+34=12c-14(FindtheLCDofallfractionsintheequation)TheLCDis4.4×(c+34)=4×(12c-14)(MuliplybothsidesoftheequationbytheLCD4)4×c+4×34=4×12c-4×14(Distribute)4c+3=2c-1(Simplify)4c-2c+3=2c-2c-1(Subtract2cfrombothsides)2c+3=-1(Simplify)2c3+3=-13(Subtract3frombothsides)2c=-4(Simplify)2c2=-42(Dividebothsidesby2)c=2Thesolutionforthegivenequationisc=-2

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