Solve for x
x = \frac{19}{8} = 2\frac{3}{8} = 2.375
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5\times 114=\frac{2}{5}\times 5x\times 120
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5x^{2}, the least common multiple of x^{2},5,x.
570=\frac{2}{5}\times 5x\times 120
Multiply 5 and 114 to get 570.
570=2x\times 120
Multiply \frac{2}{5} and 5 to get 2.
570=240x
Multiply 2 and 120 to get 240.
240x=570
Swap sides so that all variable terms are on the left hand side.
x=\frac{570}{240}
Divide both sides by 240.
x=\frac{19}{8}
Reduce the fraction \frac{570}{240} to lowest terms by extracting and canceling out 30.
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