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

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



3(x-3)=3(4-3x)-6x
We move all terms to the left:
3(x-3)-(3(4-3x)-6x)=0
We add all the numbers together, and all the variables
3(x-3)-(3(-3x+4)-6x)=0
We multiply parentheses
3x-(3(-3x+4)-6x)-9=0
We calculate terms in parentheses: -(3(-3x+4)-6x), so:
3(-3x+4)-6x
We add all the numbers together, and all the variables
-6x+3(-3x+4)
We multiply parentheses
-6x-9x+12
We add all the numbers together, and all the variables
-15x+12
Back to the equation:
-(-15x+12)
We get rid of parentheses
3x+15x-12-9=0
We add all the numbers together, and all the variables
18x-21=0
We move all terms containing x to the left, all other terms to the right
18x=21
x=21/18
x=1+1/6

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