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4x=120+120x\times \frac{1}{40}
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 30,x,40.
4x=120+\frac{120}{40}x
Multiply 120 and \frac{1}{40} to get \frac{120}{40}.
4x=120+3x
Divide 120 by 40 to get 3.
4x-3x=120
Subtract 3x from both sides.
x=120
Combine 4x and -3x to get x.