4(2x-8)+2(x-4)=5(10-x)

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Solution for 4(2x-8)+2(x-4)=5(10-x) equation:



4(2x-8)+2(x-4)=5(10-x)
We move all terms to the left:
4(2x-8)+2(x-4)-(5(10-x))=0
We add all the numbers together, and all the variables
4(2x-8)+2(x-4)-(5(-1x+10))=0
We multiply parentheses
8x+2x-(5(-1x+10))-32-8=0
We calculate terms in parentheses: -(5(-1x+10)), so:
5(-1x+10)
We multiply parentheses
-5x+50
Back to the equation:
-(-5x+50)
We add all the numbers together, and all the variables
10x-(-5x+50)-40=0
We get rid of parentheses
10x+5x-50-40=0
We add all the numbers together, and all the variables
15x-90=0
We move all terms containing x to the left, all other terms to the right
15x=90
x=90/15
x=6

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