Solve 2/x+1=4/x+1-1

$$\frac { 2 } { x + 1 } = \frac { 4 } { x + 1 } - 1$$

Solve for x

$$x=1$$

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.

$$2=4+\left(x+1\right)\left(-1\right)$$

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

$$2=4-x-1$$

Subtract 1 from 4 to get 3.

$$2=3-x$$

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

$$3-x=2$$

Subtract 3 from both sides.

$$-x=2-3$$

Subtract 3 from 2 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$