Solve 12-x/x=12/25

$$\frac { 12 - x } { x } = \frac { 12 } { 25 }$$

Solve for x

$$x = \frac{300}{37} = 8\frac{4}{37} \approx 8.108108108$$

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 25x, the least common multiple of x,25.

$$25\left(12-x\right)=12x$$

Use the distributive property to multiply 25 by 12-x.

$$300-25x=12x$$

Subtract 12x from both sides.

$$300-25x-12x=0$$

Combine -25x and -12x to get -37x.

$$300-37x=0$$

Subtract 300 from both sides. Anything subtracted from zero gives its negation.

$$-37x=-300$$

Divide both sides by -37.

$$x=\frac{-300}{-37}$$

Fraction \frac{-300}{-37} can be simplified to \frac{300}{37} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{300}{37}$$