Mathematics · Algebra

Linear Equation Solver

Solve a linear equation in the form ax + b = c and see the isolation steps.

Runs locally

Inputs and results stay in this browser. Change one value at a time to explore the relationship.

Solution x4

Calculation steps

  1. Start with 3x + 6 = 18.
  2. Subtract 6 from both sides: 3x = 12.
  3. Divide by 3: x = 4.

Definition and formula

Subtract the constant term from both sides, then divide both sides by the coefficient of x.

x = (c − b) ÷ a

Worked example

For 3x + 6 = 18, subtract 6 to get 3x = 12, then divide by 3: x = 4.

Common mistake

Whatever operation is applied to one side of an equation must also be applied to the other side.

How to learn with this calculator

Begin with the worked example, then change one value while keeping the others fixed. Compare the new result and calculation steps to identify which part of the formula changed.

Clear answers

Frequently asked questions

What does the Linear equation do?

Solve a linear equation in the form ax + b = c and see the isolation steps.

How does the Linear equation work?

The calculator applies x = (c − b) ÷ a. Subtract the constant term from both sides, then divide both sides by the coefficient of x.

What can I learn from the Linear equation?

It connects the mathematical rule to your chosen numbers and shows each calculation step. Change one input at a time to see how the result responds.

Does MW SysArc receive or store what I enter?

No. The calculation runs locally in your browser. MW SysArc does not receive or store your calculation inputs.

How should I use the result?

Use the steps to understand the method, then verify important school or professional work using the notation and rounding rules required in your setting.

Last reviewed 2026-07-14. Calculations tested 2026-07-14.