Solve 0=5/x+4+2

$$0 = \frac { 5 } { x + 4 } + 2$$

Solve for x

$$x = -\frac{13}{2} = -6\frac{1}{2} = -6.5$$

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.

$$0=5+\left(x+4\right)\times 2$$

Use the distributive property to multiply x+4 by 2.

$$0=5+2x+8$$

Add 5 and 8 to get 13.

$$0=13+2x$$

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

$$13+2x=0$$

Subtract 13 from both sides. Anything subtracted from zero gives its negation.

$$2x=-13$$

Divide both sides by 2.

$$x=\frac{-13}{2}$$

Fraction \frac{-13}{2} can be rewritten as -\frac{13}{2} by extracting the negative sign.

$$x=-\frac{13}{2}$$