Solve 2x+a/x+1=1

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

Solve for a

$$a=1-x$$

$$x\neq -1$$

Solution Steps

Multiply both sides of the equation by x+1.

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

Subtract 2x from both sides.

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

Combine x and -2x to get -x.

$$a=-x+1$$

Solve for x

$$x=1-a$$

$$a\neq 2$$

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.

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

Subtract x from both sides.

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

Combine 2x and -x to get x.

$$x+a=1$$

Subtract a from both sides.

$$x=1-a$$

Variable x cannot be equal to -1.

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