Solve x+1/a+1=2

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

Solve for a

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

$$x\neq -1$$

Steps for Solving Linear Equation

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

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

Use the distributive property to multiply 2 by a+1.

$$x+1=2a+2$$

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

$$2a+2=x+1$$

Subtract 2 from both sides.

$$2a=x+1-2$$

Subtract 2 from 1 to get -1.

$$2a=x-1$$

Divide both sides by 2.

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

Dividing by 2 undoes the multiplication by 2.

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

Variable a cannot be equal to -1.

$$a=\frac{x-1}{2}\text{, }a\neq -1$$

Solve for x

$$x=2a+1$$

$$a\neq -1$$

Solution Steps

Multiply both sides of the equation by a+1.

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

Use the distributive property to multiply 2 by a+1.

$$x+1=2a+2$$

Subtract 1 from both sides.

$$x=2a+2-1$$

Subtract 1 from 2 to get 1.

$$x=2a+1$$