Box Balance

Each puzzle is a linear equation shown as a two-pan balance. Choose an operation, add, subtract, multiply, divide, expand brackets, or collect the x terms, and it's applied to both sides at once, keeping the equation legal. Work step by step until the box (the unknown) is isolated and its value is revealed. A par count tells you the efficient number of moves to aim for.

• Whatever you do is done to both sides, so the balance stays true.
• Use expand and collect to simplify before isolating the unknown.
• Solve when the box stands alone equal to a number.
• Beat par by reaching the solution in as few moves as possible.

• Daily: the same equation for everyone, in Easy, Medium, or Hard.
• Practice: fresh random equations at your chosen difficulty.

• Desktop: click an operation, enter its operand, and apply; Undo, Hint and Reset are available.
• Phone & tablet: tap an operation, tap the operand, and apply, tap Undo or Hint as needed.

• Clear constants from the box's side before dividing away its coefficient.
• Collect like x terms early so you're working toward a single unknown on one side.
• Plan the whole route before acting, fewer, deliberate moves beat par and score higher.

Box Balance makes solving equations concrete by treating an equals sign as a real balance you keep level as you isolate the unknown.

• Skills: solving linear equations, the balance model of equality, inverse operations, pre-algebra
• Best for: roughly grades 6–9 (ages 11–15)
• For parents & teachers: the balance metaphor that makes 'do the same to both sides' obvious.

A linear equation shown as a two-pan balance, with every operation applied to both sides, is the balance model — the standard way algebra is introduced before symbols take over.

Making the legal moves explicit — collect terms, expand brackets, divide through — is the original structure.

The model earns its place because it explains why the rules are rules. Doing the same thing to both sides preserves equality for the same reason it keeps a balance level, which turns "whatever you do to one side" from an instruction into an observation.

Box Balance is an original, free browser algebra game that makes equation-solving concrete by treating both sides of an equals sign as a balance you must keep level. No download required.

A free, original browser game on PlayPendium. No download, no install.