Solve 3/x+5-2=4-x/x+5

$$\frac { 3 } { x + 5 } - 2 = \frac { 4 - x } { x + 5 }$$

Solve for x

$$x=-11$$

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.

$$3+\left(x+5\right)\left(-2\right)=4-x$$

Use the distributive property to multiply x+5 by -2.

$$3-2x-10=4-x$$

Subtract 10 from 3 to get -7.

$$-7-2x=4-x$$

Add x to both sides.

$$-7-2x+x=4$$

Combine -2x and x to get -x.

$$-7-x=4$$

Add 7 to both sides.

$$-x=4+7$$

Add 4 and 7 to get 11.

$$-x=11$$

Multiply both sides by -1.

$$x=-11$$