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8*(x-3)-6*(x+3)=-2*(8-3x)+2*(4x-7)
We simplify the equation to the form, which is simple to understand
8*(x-3)-6*(x+3)=-2*(8-3x)+2*(4x-7)
Reorder the terms in parentheses
+(+8x-24)-6*(x+3)=-2*(8-3x)+2*(4x-7)
Remove unnecessary parentheses
+8x-24-6+*(+x+3+)=-2+*(+8-3x+)+2+*(+4x-7+)
Reorder the terms in parentheses
+8x-24+(-6x-18)=-2*(8-3x)+2*(4x-7)
Remove unnecessary parentheses
+8x-24-6x-18=-2+*(+8-3x+)+2+*(+4x-7+)
Reorder the terms in parentheses
+8x-24-6x-18=+(-16+6x)+2*(4x-7)
Remove unnecessary parentheses
+8x-24-6x-18=-16+6x+2+*(+4x-7+)
Reorder the terms in parentheses
+8x-24-6x-18=-16+6x+(+8x-14)
Remove unnecessary parentheses
+8x-24-6x-18=-16+6x+8x-14
We move all terms containing x to the left and all other terms to the right.
+8x-6x-6x-8x=-16-14+24+18
We simplify left and right side of the equation.
-12x=+12
We divide both sides of the equation by -12 to get x.
x=-1
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