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84x-120=7\times 36
Multiply both sides of the equation by 420, the least common multiple of 5,7,60.
84x-120=252
Multiply 7 and 36 to get 252.
84x=252+120
Add 120 to both sides.
84x=372
Add 252 and 120 to get 372.
x=\frac{372}{84}
Divide both sides by 84.
x=\frac{31}{7}
Reduce the fraction \frac{372}{84} to lowest terms by extracting and canceling out 12.