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3x+2=3(4-x)+2(1-6x)
We move all terms to the left:
3x+2-(3(4-x)+2(1-6x))=0
We add all the numbers together, and all the variables
3x-(3(-1x+4)+2(-6x+1))+2=0
We calculate terms in parentheses: -(3(-1x+4)+2(-6x+1)), so:We get rid of parentheses
3(-1x+4)+2(-6x+1)
We multiply parentheses
-3x-12x+12+2
We add all the numbers together, and all the variables
-15x+14
Back to the equation:
-(-15x+14)
3x+15x-14+2=0
We add all the numbers together, and all the variables
18x-12=0
We move all terms containing x to the left, all other terms to the right
18x=12
x=12/18
x=2/3
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