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

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



2(3x-4)=0.5(10-x)
We move all terms to the left:
2(3x-4)-(0.5(10-x))=0
We add all the numbers together, and all the variables
2(3x-4)-(0.5(-1x+10))=0
We multiply parentheses
6x-(0.5(-1x+10))-8=0
We calculate terms in parentheses: -(0.5(-1x+10)), so:
0.5(-1x+10)
We multiply parentheses
-0.5x+5
Back to the equation:
-(-0.5x+5)
We get rid of parentheses
6x+0.5x-5-8=0
We add all the numbers together, and all the variables
6.5x-13=0
We move all terms containing x to the left, all other terms to the right
6.5x=13
x=13/6.5
x=2

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