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

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



2(x+4)-(x-2)=5(x-6)
We move all terms to the left:
2(x+4)-(x-2)-(5(x-6))=0
We multiply parentheses
2x-(x-2)-(5(x-6))+8=0
We get rid of parentheses
2x-x-(5(x-6))+2+8=0
We calculate terms in parentheses: -(5(x-6)), so:
5(x-6)
We multiply parentheses
5x-30
Back to the equation:
-(5x-30)
We add all the numbers together, and all the variables
x-(5x-30)+10=0
We get rid of parentheses
x-5x+30+10=0
We add all the numbers together, and all the variables
-4x+40=0
We move all terms containing x to the left, all other terms to the right
-4x=-40
x=-40/-4
x=+10

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