x+2 (x+2) + 8
------- = ---------------
14 14+9
solve by using cross products
(x+2) * (14+9) = 14*(x+2+8)
(x+2)*23 = 14*(x+10)
distribute
23x+46 = 14x+140
subtract 14x from each side
9x+46 = 140
subtract 46 from each side
9x =94
x = 94/4
x = 10 4/9 cm