Solve x+3/1-x=-9

$$\frac { x + 3 } { 1 - x } = - 9$$

Solve for x

$$x = \frac{3}{2} = 1\frac{1}{2} = 1.5$$

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.

$$x+3=-9\left(-x+1\right)$$

Use the distributive property to multiply -9 by -x+1.

$$x+3=9x-9$$

Subtract 9x from both sides.

$$x+3-9x=-9$$

Combine x and -9x to get -8x.

$$-8x+3=-9$$

Subtract 3 from both sides.

$$-8x=-9-3$$

Subtract 3 from -9 to get -12.

$$-8x=-12$$

Divide both sides by -8.

$$x=\frac{-12}{-8}$$

Reduce the fraction \frac{-12}{-8} to lowest terms by extracting and canceling out -4.

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