Question

solve for x.
\\(\frac{9}{x} = \frac{24}{x - 5}\\)
\\(x = \square\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$9(x-5) = 24x$

Step2: Expand left-hand side

$9x - 45 = 24x$

Step3: Isolate x terms on one side

$9x - 24x = 45$

Step4: Simplify and solve for x

$-15x = 45$
$x = \frac{45}{-15}$

Answer:

$x = -3$