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5x+8x=680-4x
Multiply both sides of the equation by 40, the least common multiple of 8,5,10.
13x=680-4x
Combine 5x and 8x to get 13x.
13x+4x=680
Add 4x to both sides.
17x=680
Combine 13x and 4x to get 17x.
x=\frac{680}{17}
Divide both sides by 17.
x=40
Divide 680 by 17 to get 40.