Solving equations with brackets
Use this page when brackets make the equation feel harder and you want to see the clean expansion-first route.
Start here if you want the short version before reading the full method.
- Solve equations with brackets by expanding the brackets first, simplifying like terms, and then isolating the variable as usual.
- The main danger is incorrect expansion, especially with negative signs or subtraction outside a bracket.
What this topic means and what to look for first.
Brackets do not change the solving logic, but they do create an extra algebra step before the equation settles into a familiar form.
If the bracket expansion is clean, the rest of the solve is usually ordinary linear-equation work.
One reliable route through the topic.
- 1Expand the brackets carefully term by term.
- 2Collect like terms if needed.
- 3Move constants and variable terms into a cleaner linear equation.
- 4Isolate the variable and check the final answer in the original bracket equation.
See the method in action.
3(x + 2) = 18
- Expand to get 3x + 6 = 18.
- Subtract 6 to get 3x = 12.
- Divide by 3, so x = 4.
2(x - 3) + 4 = 10
- Expand the bracket to get 2x - 6 + 4 = 10.
- Simplify to 2x - 2 = 10.
- Add 2 and then divide by 2, so x = 6.
Things that commonly send the method off track.
- Forgetting to multiply every term inside the bracket.
- Dropping a negative sign while expanding.
- Trying to solve before the bracketed expression has been simplified properly.
Use a short verification pass before moving on.
- Substitute the final value back into the original bracket equation.
- If the answer fails, inspect the expansion line before anything else.
Try a few variations before switching to a calculator or solver tool.
- 4(x + 1) = 20
- 5(x - 2) + 3 = 18
- 2(3x + 1) = 14
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Extra algebra revision resources
If you want more printed algebra practice after this page, these broader searches are a sensible next step.
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Algebra workbook and revision book search
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Short answers worth checking.
Usually yes, because expansion reveals the linear equation you actually need to solve.
Forgetting to multiply one of the terms or dropping a negative sign is one of the most common mistakes.
Substitute the final value back into the original bracket equation and compare both sides directly.
Continue with the next closely related topic.
Use the public site structure first, then switch into the solver tool only if you need a direct test.
CureMath uses artificial intelligence to suggest how a maths problem could potentially be solved. AI can make mistakes.
Check important answers independently before relying on them.