Solve 1/x+4=6

$$\frac { 1 } { x + 4 } = 6$$

Solve for x

$$x = -\frac{23}{6} = -3\frac{5}{6} \approx -3.833333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -4 since division by zero is not defined. Multiply both sides of the equation by x+4.

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

Use the distributive property to multiply 6 by x+4.

$$1=6x+24$$

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

$$6x+24=1$$

Subtract 24 from both sides.

$$6x=1-24$$

Subtract 24 from 1 to get -23.

$$6x=-23$$

Divide both sides by 6.

$$x=\frac{-23}{6}$$

Fraction \frac{-23}{6} can be rewritten as -\frac{23}{6} by extracting the negative sign.

$$x=-\frac{23}{6}$$