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

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



6(x+2)=3(x+3)+6x-4
We move all terms to the left:
6(x+2)-(3(x+3)+6x-4)=0
We multiply parentheses
6x-(3(x+3)+6x-4)+12=0
We calculate terms in parentheses: -(3(x+3)+6x-4), so:
3(x+3)+6x-4
We add all the numbers together, and all the variables
6x+3(x+3)-4
We multiply parentheses
6x+3x+9-4
We add all the numbers together, and all the variables
9x+5
Back to the equation:
-(9x+5)
We get rid of parentheses
6x-9x-5+12=0
We add all the numbers together, and all the variables
-3x+7=0
We move all terms containing x to the left, all other terms to the right
-3x=-7
x=-7/-3
x=2+1/3

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