What is the length of BG and LB need help will mark Brainliest

we get x by setting up a proportion.
[tex]\frac{12}{2x+2}[/tex] = [tex]\frac{21}{5x-1}[/tex]
then we cross multiply.
12(5x−1) = 21(2x+2)
60x − 12 = 42x + 42
18x − 12 = 42
18x = 54
x = 3.
plug in 3 for x for LB, which is 2x + 2.
LB = 2(3) + 2 = 8
plug in 3 for x for BG, which is 5x - 1.
BG = 5(3) - 1 = 14