Solve for x:

5^{(x - 3)} × 3^{(2x - 8)} = 225

Given,

⇒ 5^{(x - 3)} × 3^{(2x - 8)} = 225

⇒ 5^{(x - 3)} × 3^{(2x - 8)} = 5² × 3²

Equating the exponents of 5,

⇒ x - 3 = 2

⇒ x = 2 + 3 = 5.

Equating the exponents of 3,

⇒ 2x - 8 = 2

⇒ 2x = 2 + 8

⇒ x = $\dfrac{10}{2}$ = 5.

Hence, x = 5.