Solve 24/x+24/60=40

$$\frac { 24 } { x } + \frac { 24 } { 60 } = 40$$

Solve for x

$$x=\frac{20}{33}\approx 0.606060606$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 60x, the least common multiple of x,60.

$$60\times 24+x\times 24=2400x$$

Multiply 60 and 24 to get 1440.

$$1440+x\times 24=2400x$$

Subtract 2400x from both sides.

$$1440+x\times 24-2400x=0$$

Combine x\times 24 and -2400x to get -2376x.

$$1440-2376x=0$$

Subtract 1440 from both sides. Anything subtracted from zero gives its negation.

$$-2376x=-1440$$

Divide both sides by -2376.

$$x=\frac{-1440}{-2376}$$

Reduce the fraction \frac{-1440}{-2376} to lowest terms by extracting and canceling out -72.

$$x=\frac{20}{33}$$