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

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



3(x+6)+10=5(3-x)+6x
We move all terms to the left:
3(x+6)+10-(5(3-x)+6x)=0
We add all the numbers together, and all the variables
3(x+6)-(5(-1x+3)+6x)+10=0
We multiply parentheses
3x-(5(-1x+3)+6x)+18+10=0
We calculate terms in parentheses: -(5(-1x+3)+6x), so:
5(-1x+3)+6x
We add all the numbers together, and all the variables
6x+5(-1x+3)
We multiply parentheses
6x-5x+15
We add all the numbers together, and all the variables
x+15
Back to the equation:
-(x+15)
We add all the numbers together, and all the variables
3x-(x+15)+28=0
We get rid of parentheses
3x-x-15+28=0
We add all the numbers together, and all the variables
2x+13=0
We move all terms containing x to the left, all other terms to the right
2x=-13
x=-13/2
x=-6+1/2

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