Solve 170000=8000x/100-x

$$170000= \frac{ 8000x }{ 100-x }$$

Solve for x

$$x = \frac{8500}{89} = 95\frac{45}{89} \approx 95.505617978$$

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.

$$170000\left(-x+100\right)=8000x$$

Use the distributive property to multiply 170000 by -x+100.

$$-170000x+17000000=8000x$$

Subtract 8000x from both sides.

$$-170000x+17000000-8000x=0$$

Combine -170000x and -8000x to get -178000x.

$$-178000x+17000000=0$$

Subtract 17000000 from both sides. Anything subtracted from zero gives its negation.

$$-178000x=-17000000$$

Divide both sides by -178000.

$$x=\frac{-17000000}{-178000}$$

Reduce the fraction \frac{-17000000}{-178000} to lowest terms by extracting and canceling out -2000.

$$x=\frac{8500}{89}$$