-It is given in the picture that angle A is bisected so we can use the <u>angle bisector theorem</u> ( if a ray bisects an angle of a triangle then it divides the opposite side of the triangle into segments that are proportional to the other 2 sides)
-We write the proportions
(x+8) / 10 = (2x-5) / 14
-If a fraction equals another fraction we can cross multiply to make the division a multiplication
14 (x+8) =10 (2x-5)
- distribute multiplication over addition and subtraction
14x + 112 = 20x -50
- subtract 14x and add 50 to both sides of the equation
