Solve 1/x+8=6

$$\frac { 1 } { x + 8 } = 6$$

Solve for x

$$x = -\frac{47}{6} = -7\frac{5}{6} \approx -7.833333333$$

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.

$$1=6\left(x+8\right)$$

Use the distributive property to multiply 6 by x+8.

$$1=6x+48$$

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

$$6x+48=1$$

Subtract 48 from both sides.

$$6x=1-48$$

Subtract 48 from 1 to get -47.

$$6x=-47$$

Divide both sides by 6.

$$x=\frac{-47}{6}$$

Fraction \frac{-47}{6} can be rewritten as -\frac{47}{6} by extracting the negative sign.

$$x=-\frac{47}{6}$$