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\frac{120}{x}=\frac{40}{3}\times 3
Multiply both sides by 3.
3\times 120=\frac{40}{3}\times 3\times 3x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.
360=\frac{40}{3}\times 3\times 3x
Multiply 3 and 120 to get 360.
360=40\times 3x
Cancel out 3 and 3.
360=120x
Multiply 40 and 3 to get 120.
120x=360
Swap sides so that all variable terms are on the left hand side.
x=\frac{360}{120}
Divide both sides by 120.
x=3
Divide 360 by 120 to get 3.