Answer:
x = 13
Step-by-step explanation:
Set up a proportion that relates the side lengths of these similar triangles.
[tex]\frac{36}{24} = \frac{6x-6}{3x+7}[/tex]
Simplify.
[tex]\frac{3}{2} =\frac{6x-6}{3x+7}[/tex]
Cross-multiply.
3(3x+7) = 2(6x-6)
Simplify.
9x + 27 = 12x - 12
39 = 3x
x = 13
