Solving Equations

Letters on both sides, and brackets. The one rule is that an equation is a balance: whatever you do to one side, you do to the other.

No account, and the maths stays in your browser — more

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Why this is harder than it looks

In 2n + 3 = 11 the letter appears once, so every step just undoes something. In 3n + 2 = n + 10 it appears twice, and undoing on its own gets you nowhere — you first have to take n off BOTH sides so the letters end up together. That is the new move, and it is the one that makes algebra suddenly feel like a different subject.

Say it as a balance, not as a trick

Move it over and change the sign is a description of what happened, not a reason, and it is where sign errors come from. Take 2n off both sides is the actual move: the scales stay level because the same thing was removed from each pan.

Brackets multiply everything inside

3(n + 4) is not 3n + 4. The 3 multiplies the whole bracket, so it is 3n + 12. You can either multiply it out first or divide both sides by 3 and deal with a much simpler equation — both work, and this tool explains whichever is shorter.

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