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

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



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

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