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

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



3(x-2)-6(3-2x)=3(5x-2)+3(2x-x)
We move all terms to the left:
3(x-2)-6(3-2x)-(3(5x-2)+3(2x-x))=0
We add all the numbers together, and all the variables
3(x-2)-6(-2x+3)-(3(5x-2)+3(+x))=0
We multiply parentheses
3x+12x-(3(5x-2)+3(+x))-6-18=0
We calculate terms in parentheses: -(3(5x-2)+3(+x)), so:
3(5x-2)+3(+x)
We multiply parentheses
15x+3x-6
We add all the numbers together, and all the variables
18x-6
Back to the equation:
-(18x-6)
We add all the numbers together, and all the variables
15x-(18x-6)-24=0
We get rid of parentheses
15x-18x+6-24=0
We add all the numbers together, and all the variables
-3x-18=0
We move all terms containing x to the left, all other terms to the right
-3x=18
x=18/-3
x=-6

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