Solve 2/1-x=3

$$\frac{ 2 }{ 1-x } = 3$$

Solve for x

$$x=\frac{1}{3}\approx 0.333333333$$

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.

$$2=3\left(-x+1\right)$$

Use the distributive property to multiply 3 by -x+1.

$$2=-3x+3$$

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

$$-3x+3=2$$

Subtract 3 from both sides.

$$-3x=2-3$$

Subtract 3 from 2 to get -1.

$$-3x=-1$$

Divide both sides by -3.

$$x=\frac{-1}{-3}$$

Fraction \frac{-1}{-3} can be simplified to \frac{1}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{3}$$