# How do you solve #(x+4) /( x-2)=12#?

##### 2 Answers

graph{0x+12 [-9.74, 10.26, 6.4, 16.4]}

graph{(x+4)/(x-2) [-25.08, 26.24, -10.77, 14.9]}

You can solve it in two ways, first being algebraically.

You can also solve it graphically. Plot the graphs of

Multiply both sides of the equation by the denominator to 'move'

#### Explanation:

In a situation like this, it is easier to multiply both sides of an equation by the denominator of the fraction to 'clear' the denominator.

Multiplying both sides keeps the expression 'even' since we're increasing both sides by the same multiple.

Now that we've multiplied, we can rearrange the fraction slightly:

Now that we've 'cleared' the denominator, we can solve for

Next, we'll add 24 to both sides, to get all of the constants onto the Left Hand Side (LHS):

Finally, divide both sides by 11 to solve for