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

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



4x-2(2-3x)=3(x-4)-6
We move all terms to the left:
4x-2(2-3x)-(3(x-4)-6)=0
We add all the numbers together, and all the variables
4x-2(-3x+2)-(3(x-4)-6)=0
We multiply parentheses
4x+6x-(3(x-4)-6)-4=0
We calculate terms in parentheses: -(3(x-4)-6), so:
3(x-4)-6
We multiply parentheses
3x-12-6
We add all the numbers together, and all the variables
3x-18
Back to the equation:
-(3x-18)
We add all the numbers together, and all the variables
10x-(3x-18)-4=0
We get rid of parentheses
10x-3x+18-4=0
We add all the numbers together, and all the variables
7x+14=0
We move all terms containing x to the left, all other terms to the right
7x=-14
x=-14/7
x=-2

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