Solve 5/x+4=3

$$\frac { 5 } { x + 4 } = 3$$

Solve for x

$$x = -\frac{7}{3} = -2\frac{1}{3} \approx -2.333333333$$

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.

$$5=3\left(x+4\right)$$

Use the distributive property to multiply 3 by x+4.

$$5=3x+12$$

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

$$3x+12=5$$

Subtract 12 from both sides.

$$3x=5-12$$

Subtract 12 from 5 to get -7.

$$3x=-7$$

Divide both sides by 3.

$$x=\frac{-7}{3}$$

Fraction \frac{-7}{3} can be rewritten as -\frac{7}{3} by extracting the negative sign.

$$x=-\frac{7}{3}$$