Solve 2/x+1-1/2(x+1)=3

$$\frac { 2 } { x + 1 } - \frac { 1 } { 2 ( x + 1 ) } = 3$$

Solve for x

$$x=-\frac{1}{2}=-0.5$$

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 2\left(x+1\right), the least common multiple of x+1,2\left(x+1\right).

$$2\times 2-1=6\left(x+1\right)$$

Multiply 2 and 2 to get 4.

$$4-1=6\left(x+1\right)$$

Subtract 1 from 4 to get 3.

$$3=6\left(x+1\right)$$

Use the distributive property to multiply 6 by x+1.

$$3=6x+6$$

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

$$6x+6=3$$

Subtract 6 from both sides.

$$6x=3-6$$

Subtract 6 from 3 to get -3.

$$6x=-3$$

Divide both sides by 6.

$$x=\frac{-3}{6}$$

Reduce the fraction \frac{-3}{6} to lowest terms by extracting and canceling out 3.

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