Answer:
[tex]x = \frac{64}{3} [/tex]
Step-by-step explanation:
Based on the given conditions:
[tex] \frac{x}{32} = \frac{12}{12 + 6} ⟹ \frac{x}{32} = \frac{12}{18} [/tex]
Cross multiply the above
[tex]18x = 384 [/tex]
Divide both sides by 18 to find the value of x
[tex]x = \frac{384}{18} [/tex]
Therefore:
[tex]x = \frac{64}{3} [/tex]
