find value of variable

Answer:
x = 23.5
Step-by-step explanation:
By inscribed angle theorem:
[tex](2x + 1) \degree = \frac{1}{2} \times 96 \degree \\ \\ \implies \: (2x + 1) \degree = 48 \degree \\ \\ \implies \: 2x + 1 = 48 \\ \\ \implies \: 2x = 48 - 1\\ \\ \implies \: 2x = 47\\ \\ \implies \: x = \frac{47}{2} \\ \\ \implies \: x = 23.5[/tex]