# Math Help - LCD Question

1. ## LCD Question

I am trying to figure out how to find the lowest common denominator when the denominator has addition in it. I would really like to see this one worked out. Here is the problem, and the answer the book gave:

(5/(2x+4)) + (3/(x+2)) = 2

What was the LCD I should multiply by?

Thanks!

2. your LCD should be 2(x+2)

multilply all terms by this and simplify you should get $\frac{3}{4}$

thus assumming cancelation:

$\frac{5}{LCD} + \frac{6}{LCD} = \frac{4(x+2)}{LCD}$

$5+6 = 4x+8$

$3=4x$

$
\frac{3}{4}=x$