Solve n-9/n+n+3/n=5

$$\frac { n - 9 } { n } + \frac { n + 3 } { n } = 5$$

Solve for n

$$n=-2$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.

$$n-9+n+3=5n$$

Combine n and n to get 2n.

$$2n-9+3=5n$$

Add -9 and 3 to get -6.

$$2n-6=5n$$

Subtract 5n from both sides.

$$2n-6-5n=0$$

Combine 2n and -5n to get -3n.

$$-3n-6=0$$

Add 6 to both sides. Anything plus zero gives itself.

$$-3n=6$$

Divide both sides by -3.

$$n=\frac{6}{-3}$$

Divide 6 by -3 to get -2.

$$n=-2$$