Solve .2=25000x/100-x

$$.2 = \frac{ 25000x }{ 100-x }$$

Solve for x

$$x=\frac{100}{125001}\approx 0.000799994$$

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.

$$0.2\left(-x+100\right)=25000x$$

Use the distributive property to multiply 0.2 by -x+100.

$$-0.2x+20=25000x$$

Subtract 25000x from both sides.

$$-0.2x+20-25000x=0$$

Combine -0.2x and -25000x to get -25000.2x.

$$-25000.2x+20=0$$

Subtract 20 from both sides. Anything subtracted from zero gives its negation.

$$-25000.2x=-20$$

Divide both sides by -25000.2.

$$x=\frac{-20}{-25000.2}$$

Expand \frac{-20}{-25000.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-200}{-250002}$$

Reduce the fraction \frac{-200}{-250002} to lowest terms by extracting and canceling out -2.

$$x=\frac{100}{125001}$$