.5(2x-1)=3(7-x)

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Solution for .5(2x-1)=3(7-x) equation:



.5(2x-1)=3(7-x)
We move all terms to the left:
.5(2x-1)-(3(7-x))=0
We add all the numbers together, and all the variables
.5(2x-1)-(3(-1x+7))=0
We multiply parentheses
x-(3(-1x+7))-0.5=0
We calculate terms in parentheses: -(3(-1x+7)), so:
3(-1x+7)
We multiply parentheses
-3x+21
Back to the equation:
-(-3x+21)
We get rid of parentheses
x+3x-21-0.5=0
We add all the numbers together, and all the variables
4x-21.5=0
We move all terms containing x to the left, all other terms to the right
4x=21.5
x=21.5/4
x=5+1/2.6666666666667

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