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4(x-3)+2=5(x-2)+3
We move all terms to the left:
4(x-3)+2-(5(x-2)+3)=0
We multiply parentheses
4x-(5(x-2)+3)-12+2=0
We calculate terms in parentheses: -(5(x-2)+3), so:We add all the numbers together, and all the variables
5(x-2)+3
We multiply parentheses
5x-10+3
We add all the numbers together, and all the variables
5x-7
Back to the equation:
-(5x-7)
4x-(5x-7)-10=0
We get rid of parentheses
4x-5x+7-10=0
We add all the numbers together, and all the variables
-1x-3=0
We move all terms containing x to the left, all other terms to the right
-x=3
x=3/-1
x=-3
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