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15x+28x-280=16x+20x
Multiply both sides of the equation by 40, the least common multiple of 8,10,5,2.
43x-280=16x+20x
Combine 15x and 28x to get 43x.
43x-280=36x
Combine 16x and 20x to get 36x.
43x-280-36x=0
Subtract 36x from both sides.
7x-280=0
Combine 43x and -36x to get 7x.
7x=280
Add 280 to both sides. Anything plus zero gives itself.
x=\frac{280}{7}
Divide both sides by 7.
x=40
Divide 280 by 7 to get 40.