Now it was:
[ \frac{2x - 1}{3} + \frac{x}{4} = \frac{5x + 2}{6} ]
Our hero, a young apprentice named , had failed the trial twice. His first attempt ended when he saw ( \frac{x}{2} + \frac{x}{3} = 10 ) and froze like a rabbit in torchlight. His second attempt ended when he tried to "move everything to the other side" without a plan and ended up with (x = x), which Arch-Mathemagician Prime called "an infinite tautology of shame." lesson 3.4 solving complex 1-variable equations
From (-x + 8 = 2 - x):
[ \frac{3(x - 4)}{2} + 5 = \frac{2x + 1}{3} - 4 ] Now it was: [ \frac{2x - 1}{3} +
[ 5x - 2(3x - 4) = 8 - (x + 6) ]
[ -x + 8 = 2 - x ]
Epilogue: Kael later became a teacher, and his first lesson was always the same: “When the equation looks like a monster, remember the Four Steps. Fractions first. Then distribute. Then move. Then solve. Always in that order.”