2x+6(3x+4)=5(x-6)+3x

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Solution for 2x+6(3x+4)=5(x-6)+3x equation:



2x+6(3x+4)=5(x-6)+3x
We move all terms to the left:
2x+6(3x+4)-(5(x-6)+3x)=0
We multiply parentheses
2x+18x-(5(x-6)+3x)+24=0
We calculate terms in parentheses: -(5(x-6)+3x), so:
5(x-6)+3x
We add all the numbers together, and all the variables
3x+5(x-6)
We multiply parentheses
3x+5x-30
We add all the numbers together, and all the variables
8x-30
Back to the equation:
-(8x-30)
We add all the numbers together, and all the variables
20x-(8x-30)+24=0
We get rid of parentheses
20x-8x+30+24=0
We add all the numbers together, and all the variables
12x+54=0
We move all terms containing x to the left, all other terms to the right
12x=-54
x=-54/12
x=-4+1/2

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