Lab: Balance-Scale Solver

Skill: one-two-step-equations

Lab: Balance-Scale Solver

Solve equations on a balance scale: apply any operation to both sides and watch the scale stay level until x stands alone.

Balance the equation: 2x + 3 = 11

Moves: 0. Goal: get x alone.

2x + 3 = 11

Try it

Challenge: solve 2x + 3 = 11 in exactly 2 moves.

Press Reset, then choose the two inverse operations in reverse order.

Not solved yet.

What to notice: the scale never tips — both pans always match, because every move hits both sides. Solving is just choosing moves that peel the equation down to x.

Strategy

Undo +/− before ×/÷ (reverse PEMDAS). Each move replaces the equation with a simpler equivalent one. When a pan holds only x, you are done — then verify by substitution.

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