x = 7
ΔEFG and ΔHJG are similar hence the ratios of corresponding sides are equal
[tex]\frac{EG}{HG}[/tex] = [tex]\frac{FG}{JG}[/tex]
[tex]\frac{2x-2}{15}[/tex] = [tex]\frac{x+9}{20}[/tex] ( cross-multiply )
20(2x - 2 ) = 15(x + 9 ) (distribute both sides )
40x - 40 = 15x + 135 ( subtract 15x from both sides )
25x - 40 = 135 ( add 40 to both sides )
25x = 175 ( divide both sides by 25 )
x = 7
