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

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



6(x+3)=2(5x-6)+6x
We move all terms to the left:
6(x+3)-(2(5x-6)+6x)=0
We multiply parentheses
6x-(2(5x-6)+6x)+18=0
We calculate terms in parentheses: -(2(5x-6)+6x), so:
2(5x-6)+6x
We add all the numbers together, and all the variables
6x+2(5x-6)
We multiply parentheses
6x+10x-12
We add all the numbers together, and all the variables
16x-12
Back to the equation:
-(16x-12)
We get rid of parentheses
6x-16x+12+18=0
We add all the numbers together, and all the variables
-10x+30=0
We move all terms containing x to the left, all other terms to the right
-10x=-30
x=-30/-10
x=+3

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