Solve -3/x+1+4/x+1=2

$$- \frac { 3 } { x + 1 } + \frac { 4 } { x + 1 } = 2$$

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 x+1.

$$-3+4=2\left(x+1\right)$$

Add -3 and 4 to get 1.

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

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

$$1=2x+2$$

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

$$2x+2=1$$

Subtract 2 from both sides.

$$2x=1-2$$

Subtract 2 from 1 to get -1.

$$2x=-1$$

Divide both sides by 2.

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

Fraction \frac{-1}{2} can be rewritten as -\frac{1}{2} by extracting the negative sign.

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