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16x=120x\times \frac{1}{8}+120
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 120x, the least common multiple of 15,8,x.
16x=\frac{120}{8}x+120
Multiply 120 and \frac{1}{8} to get \frac{120}{8}.
16x=15x+120
Divide 120 by 8 to get 15.
16x-15x=120
Subtract 15x from both sides.
x=120
Combine 16x and -15x to get x.