5(r-3)-17+r=2(r+8)-12

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Solution for 5(r-3)-17+r=2(r+8)-12 equation:



5(r-3)-17+r=2(r+8)-12
We move all terms to the left:
5(r-3)-17+r-(2(r+8)-12)=0
We add all the numbers together, and all the variables
r+5(r-3)-(2(r+8)-12)-17=0
We multiply parentheses
r+5r-(2(r+8)-12)-15-17=0
We calculate terms in parentheses: -(2(r+8)-12), so:
2(r+8)-12
We multiply parentheses
2r+16-12
We add all the numbers together, and all the variables
2r+4
Back to the equation:
-(2r+4)
We add all the numbers together, and all the variables
6r-(2r+4)-32=0
We get rid of parentheses
6r-2r-4-32=0
We add all the numbers together, and all the variables
4r-36=0
We move all terms containing r to the left, all other terms to the right
4r=36
r=36/4
r=9

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