Line AB + Line BC = Line AC
So we plug in our given information to follow that format, solve for x, and plug in our value for X to find the measurement of the line segment the question is asking for.
(8x + 8) + (4x + 2) = 22
Combine like terms:
12x + 10 = 22
Subtract 10 from both sides to isolate the variable and its coefficient:
12x = 22 - 10
12x = 12
Divide both sides by 12 to isolate the variable X:
x = 12/12
x = 1
The question asks for line BC.
BC = 4x + 2
4(1) + 2
4 + 2
6
BC is 6 units long.