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7(x-2)-2(x-3)=3x-2(8-x)
We simplify the equation to the form, which is simple to understand
7(x-2)-2(x-3)=3x-2(8-x)
Reorder the terms in parentheses
+(+7x-14)-2*(x-3)=3x-2*(8-x)
Remove unnecessary parentheses
+7x-14-2+*(+x-3+)=+3x-2+*(+8-x+)
Reorder the terms in parentheses
+7x-14+(-2x+6)=3x-2*(8-x)
Remove unnecessary parentheses
+7x-14-2x+6=+3x-2+*(+8-x+)
Reorder the terms in parentheses
+7x-14-2x+6=3x+(-16+2x)
Remove unnecessary parentheses
+7x-14-2x+6=+3x-16+2x
We move all terms containing x to the left and all other terms to the right.
+7x-2x-3x-2x=-16+14-6
We simplify left and right side of the equation.
0x=-8
0=-8
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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