GUIDE深度 · Deep dive
Solving Linear Equations
The goal of a linear equation is to isolate x: remove brackets, move x terms to one side and constants to the other, then divide by the coefficient. Substitute back to check.
Steps
Brackets -> transpose -> combine -> divide by the coefficient.
Flip the sign when moving a term.
Check
Substitute the solution into both sides.
Both sides must match.
FAQ
Why flip signs?
It is adding/subtracting the same value on both sides.
Fractional coefficient?
Multiply both sides by the reciprocal.