Solve 23-x/x=23/20

$$\frac { 23 - x } { x } = \frac { 23 } { 20 }$$

Solve for x

$$x = \frac{460}{43} = 10\frac{30}{43} \approx 10.697674419$$

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 20x, the least common multiple of x,20.

$$20\left(23-x\right)=23x$$

Use the distributive property to multiply 20 by 23-x.

$$460-20x=23x$$

Subtract 23x from both sides.

$$460-20x-23x=0$$

Combine -20x and -23x to get -43x.

$$460-43x=0$$

Subtract 460 from both sides. Anything subtracted from zero gives its negation.

$$-43x=-460$$

Divide both sides by -43.

$$x=\frac{-460}{-43}$$

Fraction \frac{-460}{-43} can be simplified to \frac{460}{43} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{460}{43}$$