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10x-8(x+5)=5(2x+2)-8(x+5)
We simplify the equation to the form, which is simple to understand
10x-8(x+5)=5(2x+2)-8(x+5)
Reorder the terms in parentheses
10x+(-8x-40)=5*(2x+2)-8*(x+5)
Remove unnecessary parentheses
+10x-8x-40=+5+*(+2x+2+)-8+*(+x+5+)
Reorder the terms in parentheses
10x-8x-40=+(+10x+10)-8*(x+5)
Remove unnecessary parentheses
+10x-8x-40=+10x+10-8+*(+x+5+)
Reorder the terms in parentheses
10x-8x-40=+10x+10+(-8x-40)
Remove unnecessary parentheses
+10x-8x-40=+10x+10-8x-40
We move all terms containing x to the left and all other terms to the right.
+10x-8x-10x+8x=+10-40+40
We simplify left and right side of the equation.
0x=+10
0=10
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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