Algebra Calculator
Solve linear equations and 2×2 systems
What is the Algebra Calculator?
The algebra calculator solves for an unknown variable in an equation. Type in something like 3x + 5 = 20 and it tells you x = 5, along with the steps used to get there. Students use it to check their work and understand where they went wrong. It handles linear equations, simple quadratics, and expressions with one variable, making it practical for most algebra coursework from pre-algebra through high school.
How Does It Work?
Solving a linear equation means isolating the variable on one side. You do this by applying inverse operations: if something is added, you subtract it from both sides; if something is multiplied, you divide both sides. The key rule is that whatever you do to one side, you do to the other, the equation stays balanced.
For a linear equation ax + b = c: x = (c − b) / a
• x = the unknown variable
• a = coefficient of x
• b = constant added or subtracted from the x term
• c = the value on the right side of the equation
How to Use CalciHub's Algebra Calculator
1. Type your equation into the input field using standard notation (e.g., 2x + 4 = 10).
2. Use * for multiplication if your equation involves it (e.g., 3*x).
3. Click Solve, the calculator returns the value of x.
4. Below the answer, you'll see each step explained.
Tip: If your equation has variables on both sides, that's fine, just type it as written and the calculator handles the rearranging.
A Quick Example
Equation: 4x − 7 = 13. Step 1: Add 7 to both sides → 4x = 20. Step 2: Divide both sides by 4 → x = 5. Enter this into CalciHub's algebra calculator and it walks through exactly these two steps. Now try something slightly harder: 2(x + 3) = 14. Expand: 2x + 6 = 14. Subtract 6: 2x = 8. Divide by 2: x = 4. The calculator handles the expansion automatically.
Seeing the steps laid out makes it easier to spot where your own working went off track, the calculator is as useful for learning as it is for getting the answer.
Frequently Asked Questions
Two-variable equations require a system of equations — two equations together. The algebra calculator is designed for single-variable equations. For systems, you'd use a dedicated simultaneous equations solver.
It means there's no value of x that makes both sides equal. This happens with contradictions like x + 2 = x + 5, which simplifies to 2 = 5 — impossible. The calculator will identify this and tell you there's no solution.
Yes. Enter fractions using the / symbol (e.g., x/2 + 3 = 7). The solver treats them correctly and works through the steps without you having to clear the denominators manually.
It means the equation is always true regardless of x—something like 2x + 4 = 2(x + 2), which simplifies to 4 = 4. Any value of x satisfies it. The calculator flags this as an identity.
Yes, completely free. Enter your equation and get the answer and step-by-step solution — no cost, no account.
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