Solve 10/100-x=0.2

$$\frac { 10 } { 100 - x } = 0.2$$

Solve for x

$$x=50$$

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.

$$10=0.2\left(-x+100\right)$$

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

$$10=-0.2x+20$$

Swap sides so that all variable terms are on the left hand side.

$$-0.2x+20=10$$

Subtract 20 from both sides.

$$-0.2x=10-20$$

Subtract 20 from 10 to get -10.

$$-0.2x=-10$$

Divide both sides by -0.2.

$$x=\frac{-10}{-0.2}$$

Expand \frac{-10}{-0.2} by multiplying both numerator and the denominator by 10.

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

Divide -100 by -2 to get 50.

$$x=50$$