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5x-6(x+7)=8x-9(10+x)
We simplify the equation to the form, which is simple to understand
5x-6(x+7)=8x-9(10+x)
Reorder the terms in parentheses
5x+(-6x-42)=8x-9*(10+x)
Remove unnecessary parentheses
+5x-6x-42=+8x-9+*(+10+x+)
Reorder the terms in parentheses
5x-6x-42=8x+(-90-9x)
Remove unnecessary parentheses
+5x-6x-42=+8x-90-9x
We move all terms containing x to the left and all other terms to the right.
+5x-6x-8x+9x=-90+42
We simplify left and right side of the equation.
0x=-48
0=-48
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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