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2(x-9)-(3x+1)=-4(x-3)-(-5x-1)
We simplify the equation to the form, which is simple to understand
2(x-9)-(3x+1)=-4(x-3)-(-5x-1)
Reorder the terms in parentheses
+(+2x-18)-(3x+1)=-4*(x-3)-(-5x-1)
Remove unnecessary parentheses
+2x-18-(+3x+1+)=-4+*(+x-3+)-(-5x-1+)
Remove unnecessary parentheses
+2x-18-3x-1=-4*(x-3)-(-5x-1)
Reorder the terms in parentheses
+2x-18-3x-1=+(-4x+12)-(-5x-1)
Remove unnecessary parentheses
+2x-18-3x-1=-4x+12-(-5x-1+)
Remove unnecessary parentheses
+2x-18-3x-1=-4x+12+5x+1
We move all terms containing x to the left and all other terms to the right.
+2x-3x+4x-5x=+12+1+18+1
We simplify left and right side of the equation.
-2x=+32
We divide both sides of the equation by -2 to get x.
x=-16
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