Solve 8=25,000x/100-x

$$8 = \frac { 25,000 x } { 100 - x }$$

Solve for x

$$x=\frac{50}{1563}\approx 0.031989763$$

Steps for Solving Linear Equation

Variable x cannot be equal to 100 since division by zero is not defined. Multiply both sides of the equation by -x+100.

$$8\left(-x+100\right)=25000x$$

Use the distributive property to multiply 8 by -x+100.

$$-8x+800=25000x$$

Subtract 25000x from both sides.

$$-8x+800-25000x=0$$

Combine -8x and -25000x to get -25008x.

$$-25008x+800=0$$

Subtract 800 from both sides. Anything subtracted from zero gives its negation.

$$-25008x=-800$$

Divide both sides by -25008.

$$x=\frac{-800}{-25008}$$

Reduce the fraction \frac{-800}{-25008} to lowest terms by extracting and canceling out -16.

$$x=\frac{50}{1563}$$