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28x-7\times 3x+56=4x+140
Multiply both sides of the equation by 28, the least common multiple of 4,7.
28x-21x+56=4x+140
Multiply -7 and 3 to get -21.
7x+56=4x+140
Combine 28x and -21x to get 7x.
7x+56-4x=140
Subtract 4x from both sides.
3x+56=140
Combine 7x and -4x to get 3x.
3x=140-56
Subtract 56 from both sides.
3x=84
Subtract 56 from 140 to get 84.
x=\frac{84}{3}
Divide both sides by 3.
x=28
Divide 84 by 3 to get 28.