Learning equations — solve for x
"An equation is a balance scale: both sides carry the same value, and every operation must keep the balance. Solving for x means unwinding the equation step by step — the key skill of grades 7 to 10."
What is this topic about?
A term is a calculation recipe with letters, like 3x + 5; an equation sets two terms equal: 3x + 5 = 20. Solving means isolating x with balance moves — undo the +5 on both sides, then the ×3, leaving x = 5. Grades 7–8 train one-step and two-step equations plus expanding brackets (3(x + 2) = 3x + 6); grades 9–10 add quadratic equations (x² + px + q = 0) and systems of two equations. The core idea never changes: whatever you do, do it on BOTH sides.
The best way to learn it
Read equations backwards: x was built up step by step — undo the last step first.
Probe with easy numbers: does x = 5 really balance the scale? Checking is part of solving.
Same transformation on BOTH sides — the balance scale never lies.
Frequently asked questions
Practise equations in a duel
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