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10\times 2x-84=63
Multiply both sides of the equation by 70, the least common multiple of 7,5,10.
20x-84=63
Multiply 10 and 2 to get 20.
20x=63+84
Add 84 to both sides.
20x=147
Add 63 and 84 to get 147.
x=\frac{147}{20}
Divide both sides by 20.