Solve a+2/x+1=1

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

Solve for a

$$a=x-1$$

$$x\neq -1$$

Solution Steps

Multiply both sides of the equation by x+1.

$$a+2=x+1$$

Subtract 2 from both sides.

$$a=x+1-2$$

Subtract 2 from 1 to get -1.

$$a=x-1$$

Solve for x

$$x=a+1$$

$$a\neq -2$$

Solution Steps

Variable x cannot be equal to -1 since division by zero is not defined. Multiply both sides of the equation by x+1.

$$a+2=x+1$$

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

$$x+1=a+2$$

Subtract 1 from both sides.

$$x=a+2-1$$

Subtract 1 from 2 to get 1.

$$x=a+1$$

Variable x cannot be equal to -1.

$$x=a+1\text{, }x\neq -1$$