Equation Solver
Solve any linear equation step by step — expand brackets, collect like terms, and find the value of x with full working shown.
Equation solver calculator
Step by step calculations
Enter an equation and press Solve to see the step by step calculations.
Equation Solver Explained
Core concepts, classroom applications, and plain-English explanations for all audiences.
When would you actually use this?
You have a £120 budget, items cost £15 each and there is a fixed delivery charge of £30. How many can you buy? That's a linear equation: 15x + 30 = 120. Equations let you work backwards from a known result to an unknown quantity.
Worked example
"A mobile contract charges £12 per month plus a £40 handset fee. After how many months will the total reach £184?"
12x + 40 = 184
12x = 184 − 40 = 144
x = 144 ÷ 12 = 12 months
Always check: 12 × 12 + 40 = 144 + 40 = 184 ✓