Answer:
x = 14
Step-by-step explanation:
Assuming the triangles are similar then the corresponding sides are in proportion, that is
[tex]\frac{15}{x-4}[/tex] = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3(x - 4) = 30 ( divide both sides by 3 )
x - 4 = 10 ( add 4 to both sides )
x = 14
