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

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



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

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