Solve 4-8/x+5=x/x+5

$$4 - \frac { 8 } { x + 5 } = \frac { x } { x + 5 }$$

Solve for x

$$x=-4$$

Steps for Solving Linear Equation

Variable x cannot be equal to -5 since division by zero is not defined. Multiply both sides of the equation by x+5.

$$\left(x+5\right)\times 4-8=x$$

Use the distributive property to multiply x+5 by 4.

$$4x+20-8=x$$

Subtract 8 from 20 to get 12.

$$4x+12=x$$

Subtract x from both sides.

$$4x+12-x=0$$

Combine 4x and -x to get 3x.

$$3x+12=0$$

Subtract 12 from both sides. Anything subtracted from zero gives its negation.

$$3x=-12$$

Divide both sides by 3.

$$x=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$x=-4$$