Question

solve for x.
\\(\frac{5x - 5}{x - 2} = \frac{1}{3}\\)
\\(x = \square\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$$3(5x - 5) = 1(x - 2)$$

Step2: Expand both sides

$$15x - 15 = x - 2$$

Step3: Isolate x terms on left

$$15x - x = 15 - 2$$

Step4: Simplify and solve for x

$$14x = 13 \implies x = \frac{13}{14}$$

Answer:

$\frac{13}{14}$