Algebra 1 Basic

One-Step Equations

Solve equations of the form x + a = b, x − a = b, ax = b, and x/a = b using inverse operations — with a full step-by-step walkthrough and answer verification.

All four equation types
Inverse-operation steps
Answer check included
Live
Equation Input
Equation Type
Equation Preview
x + a = b
Examples
or type an equation
Solution
Select an equation type, enter values for a and b, then press Solve.
Equation
Solution
Equation type
Inverse op
x =
Step-by-Step Solution
Inverse Operations & Balance
x + a = b  →  x = b − a

A one-step equation has exactly one operation applied to the variable. To isolate x — get it alone on one side — you undo that operation using its inverse.

The golden rule: whatever you do to one side of the equation, you must do to the other. This keeps the equation balanced, like a scale. Apply the inverse operation to both sides and x is revealed.

Because you only need one inverse step, these are called one-step equations — the foundation of all algebraic equation solving.

Always check your answer by substituting x back into the original equation. Both sides should be equal.
The Four Equation Types
  • x + a = b — subtract a from both sides → x = b − a
  • x − a = b — add a to both sides → x = b + a
  • ax = b — divide both sides by a → x = b ÷ a
  • x/a = b — multiply both sides by a → x = a · b
Addition and subtraction are inverses of each other. Multiplication and division are inverses of each other.

Building toward multi-step equations?

A tutor can show you the pattern behind every equation type — so you'll recognize what to do the moment you see one, no matter how many steps it takes.

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