Multi-step equation solver
Distribute, combine, collect, isolate. The solver labels each move in the margin.
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What counts as a multi-step equation?
Multi-step equations are linear equations dressed up with brackets, several terms and x on both sides. Nothing new is needed, just a reliable order of moves.
The most common slip is distributing a negative sign: −(x − 5) is −x + 5, not −x − 5.
A reliable order of moves
- Distribute to remove brackets, taking care with negative signs.
- Clear fractions by multiplying every term by the LCD.
- Combine like terms on each side.
- Collect the variable terms on one side.
- Collect the constants on the other side.
- Divide by the coefficient and check.
Frequently asked questions
Which side should I move x to?
Either works. Many people move x to the side where its coefficient is larger, so it stays positive and you avoid dividing by a negative.
What does it mean if x disappears?
If x cancels out, look at what remains. A true statement (like 3 = 3) means every number is a solution; a false one (like 3 = 7) means there is none.
Do I have to clear fractions?
No, but it makes the arithmetic much easier and reduces mistakes. Multiply every term on both sides by the least common denominator.