📐 Algebra Calculator
Solve linear algebraic equations quickly and accurately. Enter your equation and get step-by-step solutions.
Enter equations in the form: ax + b = c (e.g., 2x + 5 = 13)
How to Use This Calculator
Enter your equation
Type the equation in the input field. Use the format: ax + b = c (e.g., 2x + 5 = 13).
Click Solve
Press the "Solve Equation" button to calculate the solution.
Review the solution
The calculator displays the value of x that satisfies the equation.
Try different equations
Modify the equation and solve again to practice or verify your work.
Formula
ax + b = c
x = (c - b) / a
For a linear equation in the form ax + b = c, where a ≠ 0, the solution is x = (c - b) / a.
Example
For 2x + 5 = 13: x = (13 - 5) / 2 = 8 / 2 = 4
Full Description
This algebra calculator solves linear equations of the form ax + b = c. Linear equations are fundamental in algebra and appear frequently in mathematics, science, and engineering problems.
The calculator uses algebraic manipulation to isolate the variable x. It performs the inverse operations needed to solve for x, making it perfect for students learning algebra, professionals checking calculations, or anyone needing quick equation solutions.
Ideal for
- Students: Practice solving linear equations and verify homework answers.
- Teachers: Demonstrate equation solving techniques and check student work.
- Professionals: Quickly solve equations in engineering, finance, or science applications.
- Test preparation: Practice for algebra exams and standardized tests.
Key Features
- ✅ Solves linear equations in standard form
- ✅ Provides clear, step-by-step solutions
- ✅ Handles positive and negative coefficients
- ✅ Instant results with error checking
Frequently Asked Questions
What types of equations can this calculator solve?
Currently, this calculator solves linear equations in the form ax + b = c. For quadratic equations, cubic equations, or systems of equations, use the specialized calculators available on our site.
Can I solve equations with fractions or decimals?
Yes, you can enter coefficients as decimals (e.g., 2.5x + 3.7 = 10.2). The calculator handles decimal values automatically.
What if my equation has variables on both sides?
For equations with variables on both sides (e.g., 2x + 3 = x + 7), you'll need to rearrange them to the form ax + b = c first, or use a more advanced equation solver.
Can I solve for variables other than x?
The calculator is designed for equations with x as the variable. For other variables, you can mentally substitute x for your variable when entering the equation.
What if the equation has no solution?
If you enter an equation like 0x + 5 = 10, the calculator will show an error because the coefficient of x cannot be zero. Equations with no solution or infinite solutions require special handling.