Solve 14/x+1+7/x+1=-3

$$\frac { 14 } { x + 1 } + \frac { 7 } { x + 1 } = - 3$$

Solve for x

$$x=-8$$

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.

$$14+7=-3\left(x+1\right)$$

Add 14 and 7 to get 21.

$$21=-3\left(x+1\right)$$

Use the distributive property to multiply -3 by x+1.

$$21=-3x-3$$

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

$$-3x-3=21$$

Add 3 to both sides.

$$-3x=21+3$$

Add 21 and 3 to get 24.

$$-3x=24$$

Divide both sides by -3.

$$x=\frac{24}{-3}$$

Divide 24 by -3 to get -8.

$$x=-8$$