Solve 4x/x+4=15

$$\frac { 4 x } { x + 4 } = 15$$

Solve for x

$$x = -\frac{60}{11} = -5\frac{5}{11} \approx -5.454545455$$

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.

$$4x=15\left(x+4\right)$$

Use the distributive property to multiply 15 by x+4.

$$4x=15x+60$$

Subtract 15x from both sides.

$$4x-15x=60$$

Combine 4x and -15x to get -11x.

$$-11x=60$$

Divide both sides by -11.

$$x=\frac{60}{-11}$$

Fraction \frac{60}{-11} can be rewritten as -\frac{60}{11} by extracting the negative sign.

$$x=-\frac{60}{11}$$