I need to figure out the steps to solve these types of equations plz help me, thanks.

Question

D is the midpoint of CE. If CD=6x and CE=10x+10, what is CE

Answer 1

Always draw a picture:

B is the midpoint of AC, so

AB = BC

AB = AC/2

BC = AC/2

Then, solve for x in the expressions.

Be sure to check your answer,

Answer 2

If CD is midpoint of CE then CD = CE/2 = (10x+10)/2=5x+5 =6x ... solve to find x=5 thus CE = 30.