5(3m-6)=8(m+5)-3m

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Solution for 5(3m-6)=8(m+5)-3m equation: 



5(3m-6)=8(m+5)-3m

We move all terms to the left:

5(3m-6)-(8(m+5)-3m)=0

We multiply parentheses

15m-(8(m+5)-3m)-30=0



We calculate terms in parentheses: -(8(m+5)-3m), so:

8(m+5)-3m

We add all the numbers together, and all the variables

-3m+8(m+5)

We multiply parentheses

-3m+8m+40

We add all the numbers together, and all the variables

5m+40

Back to the equation:

-(5m+40)



We get rid of parentheses

15m-5m-40-30=0

We add all the numbers together, and all the variables

10m-70=0

We move all terms containing m to the left, all other terms to the right

10m=70

m=70/10

m=7

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