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

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



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

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