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5\left(x-x\right)=680-4x
Multiply both sides of the equation by 40, the least common multiple of 8,10.
5\times 0=680-4x
Combine x and -x to get 0.
0=680-4x
Multiply 5 and 0 to get 0.
680-4x=0
Swap sides so that all variable terms are on the left hand side.
-4x=-680
Subtract 680 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-680}{-4}
Divide both sides by -4.
x=170
Divide -680 by -4 to get 170.