Lesson 3.4 Solving Complex 1-variable Equations 〈360p • 4K〉

And this:

But Kael had a secret weapon: an old, dusty scroll from his grandmother, a former Keeper of the Balance. It was titled Step 1: Clear the Denominators (The Great Purge) Kael’s grandmother’s scroll read: “Fractions are fear made visible. Eliminate them by multiplying every term by the Least Common Denominator (LCD).” lesson 3.4 solving complex 1-variable equations

Kael froze. That was false. No solution? He checked his work. Then he remembered: if you eliminate variables and get a false statement (like (8=2)), the equation has . If you get a true statement (like (5=5)), it has infinitely many solutions . And this: But Kael had a secret weapon:

Citizens wept. Bridges creaked unpainted. Bakery ovens grew cold. Everyone was stuck. That was false

From (-x + 8 = 2 - x):

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