7(m-5)=13(3-m)+2m

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Solution for 7(m-5)=13(3-m)+2m equation:



7(m-5)=13(3-m)+2m
We move all terms to the left:
7(m-5)-(13(3-m)+2m)=0
We add all the numbers together, and all the variables
7(m-5)-(13(-1m+3)+2m)=0
We multiply parentheses
7m-(13(-1m+3)+2m)-35=0
We calculate terms in parentheses: -(13(-1m+3)+2m), so:
13(-1m+3)+2m
We add all the numbers together, and all the variables
2m+13(-1m+3)
We multiply parentheses
2m-13m+39
We add all the numbers together, and all the variables
-11m+39
Back to the equation:
-(-11m+39)
We get rid of parentheses
7m+11m-39-35=0
We add all the numbers together, and all the variables
18m-74=0
We move all terms containing m to the left, all other terms to the right
18m=74
m=74/18
m=4+1/9

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