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-3(x+1)+4(2x-3)=-2(x-3)
We simplify the equation to the form, which is simple to understand
-3(x+1)+4(2x-3)=-2(x-3)
Reorder the terms in parentheses
+(-3x-3)+4*(2x-3)=-2*(x-3)
Remove unnecessary parentheses
-3x-3+4+*(+2x-3+)=-2+*(+x-3+)
Reorder the terms in parentheses
-3x-3+(+8x-12)=-2*(x-3)
Remove unnecessary parentheses
-3x-3+8x-12=-2+*(+x-3+)
Reorder the terms in parentheses
-3x-3+8x-12=+(-2x+6)
Remove unnecessary parentheses
-3x-3+8x-12=-2x+6
We move all terms containing x to the left and all other terms to the right.
-3x+8x+2x=+6+3+12
We simplify left and right side of the equation.
+7x=+21
We divide both sides of the equation by 7 to get x.
x=3
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