Solve 4/x+8=-7

$$\frac { 4 } { x + 8 } = - 7$$

Solve for x

$$x = -\frac{60}{7} = -8\frac{4}{7} \approx -8.571428571$$

Steps for Solving Linear Equation

Variable x cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by x+8.

$$4=-7\left(x+8\right)$$

Use the distributive property to multiply -7 by x+8.

$$4=-7x-56$$

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

$$-7x-56=4$$

Add 56 to both sides.

$$-7x=4+56$$

Add 4 and 56 to get 60.

$$-7x=60$$

Divide both sides by -7.

$$x=\frac{60}{-7}$$

Fraction \frac{60}{-7} can be rewritten as -\frac{60}{7} by extracting the negative sign.

$$x=-\frac{60}{7}$$