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

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



(x-2)+2(2x+2)=3(5x-6)
We move all terms to the left:
(x-2)+2(2x+2)-(3(5x-6))=0
We multiply parentheses
(x-2)+4x-(3(5x-6))+4=0
We get rid of parentheses
x+4x-(3(5x-6))-2+4=0
We calculate terms in parentheses: -(3(5x-6)), so:
3(5x-6)
We multiply parentheses
15x-18
Back to the equation:
-(15x-18)
We add all the numbers together, and all the variables
5x-(15x-18)+2=0
We get rid of parentheses
5x-15x+18+2=0
We add all the numbers together, and all the variables
-10x+20=0
We move all terms containing x to the left, all other terms to the right
-10x=-20
x=-20/-10
x=+2

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