Answer:
x= -4
Explanation:
Essentially all that one needs to do is add up all the given values,
because each part, each segment of the line is a specific value
When added up, they create the whole line.
JI = 12+x
IH= x+8
HG = 2
JG = 14
so add up all the segments
JI + IH + HG = JG
12 +x + x + 8 + 2 = 14
simplify, and solve with inverse operations,
2x + 22 = 14
2x = -8
x = -2
check by substituting back into the problem
JI = 12 +x
12 - 4
=8
IH = x +8
-4 +8
=4
HG =2
JI + IH + HG = JG
8 + 4 + 2 = 14