Solve 5/x+2=3

$$\frac { 5 } { x + 2 } = 3$$

Solve for x

$$x=-\frac{1}{3}\approx -0.333333333$$

Steps for Solving Linear Equation

Variable x cannot be equal to -2 since division by zero is not defined. Multiply both sides of the equation by x+2.

$$5=3\left(x+2\right)$$

Use the distributive property to multiply 3 by x+2.

$$5=3x+6$$

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

$$3x+6=5$$

Subtract 6 from both sides.

$$3x=5-6$$

Subtract 6 from 5 to get -1.

$$3x=-1$$

Divide both sides by 3.

$$x=\frac{-1}{3}$$

Fraction \frac{-1}{3} can be rewritten as -\frac{1}{3} by extracting the negative sign.

$$x=-\frac{1}{3}$$