Equation Solver

Solve linear equations instantly with step-by-step solutions. Choose from two equation forms:

• ax + b = c — standard form with one variable
• ax + b = cx + d — variables on both sides

How to Use This Solver

1. Select the equation form — standard (ax + b = c) or variables on both sides (ax + b = cx + d)
2. Enter the coefficients — the numbers in your equation
3. See the solution with a complete step-by-step breakdown showing every algebraic operation

Example

To solve $3x + 7 = 22$:

• Enter a = 3, b = 7, c = 22
• The solver shows: subtract 7, then divide by 3, giving $x = 5$

When You’ll Need This

Linear equations appear everywhere:

• Electricians use Ohm’s law ($V = IR$) to find unknown voltage, current, or resistance
• Nurses solve dosage equations to calculate correct medication amounts
• Business uses break-even equations to find profit thresholds
• Construction uses equations for material estimation and cost calculations

Learn the Method

Want to solve equations by hand? Read our Solving Linear Equations tutorial for a complete explanation of inverse operations, multi-step equations, and variables on both sides.

Explore the full Algebra section for more.