[ \frac{2(x + 3)}{5} - \frac{x - 1}{2} = \frac{3x + 4}{10} + 1 ]

[ 5x - 6x + 8 = 8 - x - 6 ]

Kael checked it in the original fraction equation. It worked. The numbers aligned. The universe hummed. On trial day, Arch-Mathemagician Prime presented the final challenge:

He distributed carefully:

Left side: (5x - 6x + 8) (because (-2 \times -4 = +8))

He multiplied (yes, even the lonely ( + \frac{x}{4} )) by 12: