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5\times 7x=2\times 140
Multiply both sides of the equation by 20, the least common multiple of 4,10.
35x=2\times 140
Multiply 5 and 7 to get 35.
35x=280
Multiply 2 and 140 to get 280.
x=\frac{280}{35}
Divide both sides by 35.
x=8
Divide 280 by 35 to get 8.