7(r-5)+5=2(2r-3)-6

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Solution for 7(r-5)+5=2(2r-3)-6 equation:



7(r-5)+5=2(2r-3)-6
We move all terms to the left:
7(r-5)+5-(2(2r-3)-6)=0
We multiply parentheses
7r-(2(2r-3)-6)-35+5=0
We calculate terms in parentheses: -(2(2r-3)-6), so:
2(2r-3)-6
We multiply parentheses
4r-6-6
We add all the numbers together, and all the variables
4r-12
Back to the equation:
-(4r-12)
We add all the numbers together, and all the variables
7r-(4r-12)-30=0
We get rid of parentheses
7r-4r+12-30=0
We add all the numbers together, and all the variables
3r-18=0
We move all terms containing r to the left, all other terms to the right
3r=18
r=18/3
r=6

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