Question

solve for x.

Explanation:

Step1: Identify equal circle diameters

The segments $BC$ and $FD$ are diameters of the same circle, so their lengths are equal.
$8x + 11 = 9x - 7$

Step2: Isolate variable x

Subtract $8x$ from both sides to group x terms.
$11 = x - 7$

Step3: Solve for x

Add 7 to both sides to find x.
$x = 11 + 7$

Answer:

$x = 18$