The bisector divides the line BC in the following ratio.
(x + 8) / 10 = (2x - 5) / 14 Cross Multiply
14(x + 8) = 10(2x - 5) Remove the brackets.
14x + 112 = 20x - 50 Subtract 14x from both sides . Add 50 to both sides
112 + 50 = 20x - 14x Collect like terms
162 = 6x Divide by 6
x = 27
