Solve 3/1-x=2/1+x

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

Solve for x

$$x=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -1,1 since division by zero is not defined. Multiply both sides of the equation by \left(x-1\right)\left(x+1\right), the least common multiple of 1-x,1+x.

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

To find the opposite of 1+x, find the opposite of each term.

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

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

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

Use the distributive property to multiply x-1 by 2.

$$-3-3x=2x-2$$

Subtract 2x from both sides.

$$-3-3x-2x=-2$$

Combine -3x and -2x to get -5x.

$$-3-5x=-2$$

Add 3 to both sides.

$$-5x=-2+3$$

Add -2 and 3 to get 1.

$$-5x=1$$

Divide both sides by -5.

$$x=\frac{1}{-5}$$

Fraction \frac{1}{-5} can be rewritten as -\frac{1}{5} by extracting the negative sign.

$$x=-\frac{1}{5}$$