x-0.5(10-8x)=3(2x-4)+x

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Solution for x-0.5(10-8x)=3(2x-4)+x equation:



x-0.5(10-8x)=3(2x-4)+x
We move all terms to the left:
x-0.5(10-8x)-(3(2x-4)+x)=0
We add all the numbers together, and all the variables
x-0.5(-8x+10)-(3(2x-4)+x)=0
We multiply parentheses
x+4x-(3(2x-4)+x)-5=0
We calculate terms in parentheses: -(3(2x-4)+x), so:
3(2x-4)+x
We add all the numbers together, and all the variables
x+3(2x-4)
We multiply parentheses
x+6x-12
We add all the numbers together, and all the variables
7x-12
Back to the equation:
-(7x-12)
We add all the numbers together, and all the variables
5x-(7x-12)-5=0
We get rid of parentheses
5x-7x+12-5=0
We add all the numbers together, and all the variables
-2x+7=0
We move all terms containing x to the left, all other terms to the right
-2x=-7
x=-7/-2
x=3+1/2

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