3(x+6)+10=5(x-3)+6x

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Solution for 3(x+6)+10=5(x-3)+6x equation:



3(x+6)+10=5(x-3)+6x
We move all terms to the left:
3(x+6)+10-(5(x-3)+6x)=0
We multiply parentheses
3x-(5(x-3)+6x)+18+10=0
We calculate terms in parentheses: -(5(x-3)+6x), so:
5(x-3)+6x
We add all the numbers together, and all the variables
6x+5(x-3)
We multiply parentheses
6x+5x-15
We add all the numbers together, and all the variables
11x-15
Back to the equation:
-(11x-15)
We add all the numbers together, and all the variables
3x-(11x-15)+28=0
We get rid of parentheses
3x-11x+15+28=0
We add all the numbers together, and all the variables
-8x+43=0
We move all terms containing x to the left, all other terms to the right
-8x=-43
x=-43/-8
x=5+3/8

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