Solve ax+a+2=0

$$a x + a + 2 = 0$$

Solve for a

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

$$x\neq -1$$

Steps for Solving Linear Equation

Subtract 2 from both sides. Anything subtracted from zero gives its negation.

$$ax+a=-2$$

Combine all terms containing a.

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

Divide both sides by x+1.

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

Dividing by x+1 undoes the multiplication by x+1.

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

Solve for x

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

$$a\neq 0$$

Steps for Solving Linear Equation

Subtract a from both sides. Anything subtracted from zero gives its negation.

$$ax+2=-a$$

Subtract 2 from both sides.

$$ax=-a-2$$

Divide both sides by a.

$$\frac{ax}{a}=\frac{-a-2}{a}$$

Dividing by a undoes the multiplication by a.

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

Divide -a-2 by a.

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