2(.5x+4x-6)=3(2x+3)

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Solution for 2(.5x+4x-6)=3(2x+3) equation:



2(.5x+4x-6)=3(2x+3)
We move all terms to the left:
2(.5x+4x-6)-(3(2x+3))=0
We add all the numbers together, and all the variables
2(4.5x-6)-(3(2x+3))=0
We multiply parentheses
8x-(3(2x+3))-12=0
We calculate terms in parentheses: -(3(2x+3)), so:
3(2x+3)
We multiply parentheses
6x+9
Back to the equation:
-(6x+9)
We get rid of parentheses
8x-6x-9-12=0
We add all the numbers together, and all the variables
2x-21=0
We move all terms containing x to the left, all other terms to the right
2x=21
x=21/2
x=10+1/2

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