2200.21 – An Equation with Fractions

Let $x$ represent the target number. Then,

$\frac{x}{3} + \frac{x}{10} + \frac{x}{12} + 58 = x,$

The least common denominator is 60. To clear fractions, we multiply by it:

$20 x + 6 x + 5 x + 58 \cdot 60 = 60 x,$

$31 x = 3480,$

$x = 120.$