Question

solve for x.
\\(\frac{10}{x} = \frac{35}{x - 5}\\)
\\(x = \square\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$10(x-5) = 35x$

Step2: Expand left-hand side

$10x - 50 = 35x$

Step3: Isolate x terms on one side

$10x - 35x = 50$

Step4: Combine like terms

$-25x = 50$

Step5: Solve for x

$x = \frac{50}{-25}$

Answer:

$x = -2$