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