Solve x+3/x+5-4=1/x+5

$$\frac { x + 3 } { x + 5 } - 4 = \frac { 1 } { x + 5 }$$

Solve for x

$$x=-6$$

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.

$$x+3+\left(x+5\right)\left(-4\right)=1$$

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

$$x+3-4x-20=1$$

Combine x and -4x to get -3x.

$$-3x+3-20=1$$

Subtract 20 from 3 to get -17.

$$-3x-17=1$$

Add 17 to both sides.

$$-3x=1+17$$

Add 1 and 17 to get 18.

$$-3x=18$$

Divide both sides by -3.

$$x=\frac{18}{-3}$$

Divide 18 by -3 to get -6.

$$x=-6$$