Solve x/1-x=0.001

$$\frac { x } { 1 - x } = 0.001$$

Solve for x

$$x=\frac{1}{1001}\approx 0.000999001$$

Steps for Solving Linear Equation

Variable x cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -x+1.

$$x=0.001\left(-x+1\right)$$

Use the distributive property to multiply 0.001 by -x+1.

$$x=-0.001x+0.001$$

Add 0.001x to both sides.

$$x+0.001x=0.001$$

Combine x and 0.001x to get 1.001x.

$$1.001x=0.001$$

Divide both sides by 1.001.

$$x=\frac{0.001}{1.001}$$

Expand \frac{0.001}{1.001} by multiplying both numerator and the denominator by 1000.

$$x=\frac{1}{1001}$$