![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step1.JPG\")
First factor the each term in the expression.
\2x = 2 · x
\8 = 2 · 2 · 2
\The GCF is the product of the common prime factors in each term.
\GCF = 2
\![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/step2.JPG\")
Write each term as a product of the GCF and its remaining factors.
\2x + 8 = 2(x) + 2(4)
\Combine like terms uisng distribuitve property: ab + ac = a(b + c).
\2x + 8 = 2(x + 4)![\"\"](\"http://www.mathskey.com/userfiles/image/steps_images/solution.JPG\")
Simplified expression is 2(x + 4).