Solve 1/(x+1)=-2

$$\frac { 1 } { ( x + 1 ) } = - 2$$

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.

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

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

$$1=-2x-2$$

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

$$-2x-2=1$$

Add 2 to both sides.

$$-2x=1+2$$

Add 1 and 2 to get 3.

$$-2x=3$$

Divide both sides by -2.

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

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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