What is a multi-step equation?

A multi-step equation is an equation that takes more than two steps to solve.

You still have the same goal as always:
👉 Get the variable by itself

The reason it takes more steps is because:

• There may be like terms to combine

• There might be parentheses

• The variable may appear in more than one place

The most important rule (memorize this)

When solving multi-step equations, always work in this order:

1️⃣ Simplify both sides (combine like terms, distribute)

2️⃣ Add or subtract

3️⃣ Multiply or divide

Think of it as cleaning up before solving.

Step 1: Combine like terms

Like terms are terms with the same variable and exponent.

Example:

So in this equation:

Combine the x terms:

Step 2: Solve like a two-step equation

From:

Undo the +5:

Undo the ×5:

✅ Answer: x = 3

Example with parentheses (very common)

Step 1: Distribute

Multiply 4 by everything inside the parentheses:

Step 2: Undo −8

Add 8 to both sides:

Step 3: Undo ×4

Divide both sides by 4:

✅ Answer: x = 5

Example with variables on both sides

Step 1: Get variables on one side

Subtract 2x from both sides:

Step 2: Undo +4

Subtract 4:

Step 3: Undo ×4

Divide by 4:

✅ Answer: x = 4

Always check your answer

Plug your answer back into the original equation.

Example:

Check:

If both sides match, you’re good!

Common beginner mistakes (and how to avoid them)

• ❌ Skipping steps → ✅ Write everything

• ❌ Forgetting to distribute → ✅ Do it first

• ❌ Mixing up order → ✅ Simplify, then solve

• ❌ Not checking → ✅ Always check