Length of a line

Find the length of LO if 6x - 2 = LM, MO = 10, and LO = 11x - 7

LO is a straight line:

6x - 2 + 10 = 11x - 7   {LM + MO = LO}
6x + 8 = 11x - 7   {combined like terms}
8 = 5x - 7   {subtracted 6x from both sides}
15 = 5x   {added 7 to both sides}
x = 3   {divided both sides by 5}

LO = 6x - 2
= 6(3) - 2   {substituted 3, in for x, into 6x - 2}
= 18 - 2   {multiplied 6 by 3}
LO = 16   {subtracted}

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