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

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



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

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