AB bisects LN midpoint M. If LN =7x+3 and LM =2x+12 find x and MN

Question

AB have a line with arrows on both sides above it

LN has a line with no arrows above it

Answer 1

LM is half of MN

LM = MN/2

2x+12 = (7x+3)/2

4x+24 = 7x+3

3x=21

x= 7

LM=2x+12 = 2(7)+12 =14+12 = 26

MN=2LM = 2(26)=52

AB is sort of irrelevant to the problem

Answer 2

LM is 1/2 of LN or 2LM = LN. Your equation to solve for x is 2(2x +12) = 7x + 3. Solve for x, then plug in x into either equation in order to find the lengths.