3(x-2)+4(2-x)=x+2(x-1)

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Solution for 3(x-2)+4(2-x)=x+2(x-1) equation:



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

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