Let's solve the equation step by step:
Given equation: \[ 5x - 100x + 300 = 5 \]
Combine like terms: \[ (5x - 100x) + 300 = 5 \] \[ -95x + 300 = 5 \]
Subtract 300 from both sides: \[ -95x = 5 - 300 \] \[ -95x = -295 \]
Divide both sides by -95: \[ x = \frac{-295}{-95} \] \[ x = \frac{295}{95} \]
Simplify the fraction: Divide numerator and denominator by 5: \[ x = \frac{295 ÷ 5}{95 ÷ 5} = \frac{59}{19} \]
Answer: \[ \boxed{x = \frac{59}{19}} \]