Solve 60-x/x=20/3

$$\frac { 60 - x } { x } = 20 / 3$$

Solve for x

$$x = \frac{180}{23} = 7\frac{19}{23} \approx 7.826086957$$

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 3x, the least common multiple of x,3.

$$3\left(60-x\right)=20x$$

Use the distributive property to multiply 3 by 60-x.

$$180-3x=20x$$

Subtract 20x from both sides.

$$180-3x-20x=0$$

Combine -3x and -20x to get -23x.

$$180-23x=0$$

Subtract 180 from both sides. Anything subtracted from zero gives its negation.

$$-23x=-180$$

Divide both sides by -23.

$$x=\frac{-180}{-23}$$

Fraction \frac{-180}{-23} can be simplified to \frac{180}{23} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{180}{23}$$