Answer:
x = 14
Step-by-step explanation:
[tex]f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14[/tex]
