Cross-multiply the equation: 5(x - 5) = 3(x - 3). This gives 5x - 25 = 3x - 9. Subtracting 3x from both sides gives 2x - 25 = -9, so 2x = 16, which means x = 8.
Cross-multiply the fractions to get 5(x - 5) = 3(x - 3). Expanding both sides gives 5x - 25 = 3x - 9. Subtracting 3x and adding 25 to both sides yields 2x = 16, so x = 8.