Solve 2x/x+1-1=-1

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

Solve for x

$$x=0$$

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.

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

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

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

Combine 2x and -x to get x.

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

To find the opposite of x+1, find the opposite of each term.

$$x-1=-x-1$$

Add x to both sides.

$$x-1+x=-1$$

Combine x and x to get 2x.

$$2x-1=-1$$

Add 1 to both sides.

$$2x=-1+1$$

Add -1 and 1 to get 0.

$$2x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 2 is not equal to 0, x must be equal to 0.

$$x=0$$