(x-2)-5(2-3x)=4(2x-6)

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Solution for (x-2)-5(2-3x)=4(2x-6) equation:



(x-2)-5(2-3x)=4(2x-6)
We move all terms to the left:
(x-2)-5(2-3x)-(4(2x-6))=0
We add all the numbers together, and all the variables
(x-2)-5(-3x+2)-(4(2x-6))=0
We multiply parentheses
(x-2)+15x-(4(2x-6))-10=0
We get rid of parentheses
x+15x-(4(2x-6))-2-10=0
We calculate terms in parentheses: -(4(2x-6)), so:
4(2x-6)
We multiply parentheses
8x-24
Back to the equation:
-(8x-24)
We add all the numbers together, and all the variables
16x-(8x-24)-12=0
We get rid of parentheses
16x-8x+24-12=0
We add all the numbers together, and all the variables
8x+12=0
We move all terms containing x to the left, all other terms to the right
8x=-12
x=-12/8
x=-1+1/2

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