Solve 3n+6/n-4=2

$$\frac{3n+6}{n-4}=2$$

Solve for n

$$n=-14$$

Steps for Solving Linear Equation

Variable n cannot be equal to 4 since division by zero is not defined. Multiply both sides of the equation by n-4.

$$3n+6=2\left(n-4\right)$$

Use the distributive property to multiply 2 by n-4.

$$3n+6=2n-8$$

Subtract 2n from both sides.

$$3n+6-2n=-8$$

Combine 3n and -2n to get n.

$$n+6=-8$$

Subtract 6 from both sides.

$$n=-8-6$$

Subtract 6 from -8 to get -14.

$$n=-14$$