How do I play Solve for x?

An equation sits on a balance with x on one side. Pick an operation like − 4 or ÷ 3 · it is applied to both sides at once and the new equation appears as the next step. Keep choosing inverse operations until x stands alone.

What happens if I pick a wrong operation?

It is applied for real · the balance stays level because equality survives any same-both-sides operation, but the equation gets messier (fractions, bigger numbers). Press Undo to step back, or work your way out. Only running past the step cap loses the round.

What is the minimal path?

The smallest number of both-sides operations that isolates x, computed and proven for every equation. Clear the constant first (the inverse of + or −), then the coefficient (the inverse of × or ÷). Solving on the minimal path is the perfect round.

Why does the balance never tip?

Because that is the rule the game teaches: an equation is a balance, and applying the same operation to both sides preserves equality. Whatever you do to the left side, the game mirrors on the right · so the solution never changes, only the way the equation looks.

What does Solve for x train?

Algebraic thinking · seeing x as an unknown quantity, choosing inverse operations, and understanding that equality survives only when both sides receive the same treatment. It is the balance model behind every linear equation in school algebra.

Can MemPi help me study and practice this game?

Yes! Click MemPi in the header or on the game board to summon him. He observes the board, thinks out loud, and can demonstrate moves or guide you through tricky steps.

Solve for x

Isolate x on a balance · every inverse operation you pick hits both sides at once, and every intermediate equation is shown step by step

About PlayMemorize Solve for x

Solve for x is algebra the way it should be learned: not by guessing the final answer, but by working the balance. An equation sits on a level scale · the unknown x on one side, numbers on both. You choose an operation (+, −, ×, ÷ with a number) and the game applies it to BOTH sides at the same time, then shows the new, simplified equation as the next step. Repeat until x stands alone.

Wrong moves are legal · and that is the lesson. Divide too early and fractions appear on both pans; add when you should subtract and the numbers grow. The balance stays level either way, because equality survives any same-both-sides operation · that is the balance rule. Undo takes you back a step, and the reveal replays the minimal path so you can compare routes.

A proven minimal path. Every equation is built backwards from a whole-number solution, so the clean path never hits a fraction, and the minimal number of inverse operations (the par) is computed and verified for every round · solving on the minimal path is the perfect game.

Difficulty ramps from one-step equations (x + 4 = 9) through two-step (3x + 4 = 19) to three-step equations with fraction coefficients and negative numbers.

Part of the PlayMemorize family · runs in your browser and works offline as a Progressive Web App.

How to master

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FAQ

How do I play Solve for x?

An equation sits on a balance with x on one side. Pick an operation like − 4 or ÷ 3 · it is applied to both sides at once and the new equation appears as the next step. Keep choosing inverse operations until x stands alone.
What happens if I pick a wrong operation?

It is applied for real · the balance stays level because equality survives any same-both-sides operation, but the equation gets messier (fractions, bigger numbers). Press Undo to step back, or work your way out. Only running past the step cap loses the round.
What is the minimal path?

The smallest number of both-sides operations that isolates x, computed and proven for every equation. Clear the constant first (the inverse of + or −), then the coefficient (the inverse of × or ÷). Solving on the minimal path is the perfect round.
Why does the balance never tip?

Because that is the rule the game teaches: an equation is a balance, and applying the same operation to both sides preserves equality. Whatever you do to the left side, the game mirrors on the right · so the solution never changes, only the way the equation looks.
What does Solve for x train?

Algebraic thinking · seeing x as an unknown quantity, choosing inverse operations, and understanding that equality survives only when both sides receive the same treatment. It is the balance model behind every linear equation in school algebra.
Can MemPi help me study and practice this game?

Yes! Click MemPi in the header or on the game board to summon him. He observes the board, thinks out loud, and can demonstrate moves or guide you through tricky steps.