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Algebra & Expressions

Two-Step Equations

Two-step equations require two operations to isolate the variable. Always undo addition/subtraction first, then multiplication/division.

Two steps, two moves — work backwards from what was done to x!

Watch & Learn

Watch a clear, friendly video explanation of Two-Step Equations:

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Worked Examples

Follow along with these step-by-step examples. Take your time — there's no rush!

1Example 1

Problem

Solve: 2x + 3 = 11

Step-by-Step Solution

1

Step 1: Subtract 3 from both sides: 2x = 8

2

Step 2: Divide both sides by 2: x = 4

Answer

x = 4

2Example 2

Problem

Solve: 5x − 7 = 18

Step-by-Step Solution

1

Step 1: Add 7 to both sides: 5x = 25

2

Step 2: Divide both sides by 5: x = 5

Answer

x = 5

3Example 3

Problem

Solve: x/3 + 4 = 10

Step-by-Step Solution

1

Step 1: Subtract 4 from both sides: x/3 = 6

2

Step 2: Multiply both sides by 3: x = 18

Answer

x = 18

4Example 4

Problem

Solve: −3x + 1 = 13

Step-by-Step Solution

1

Step 1: Subtract 1 from both sides: −3x = 12

2

Step 2: Divide both sides by −3: x = −4

Answer

x = −4

5Example 5

Problem

Solve: x/5 − 2 = 3

Step-by-Step Solution

1

Step 1: Add 2 to both sides: x/5 = 5

2

Step 2: Multiply both sides by 5: x = 25

Answer

x = 25

Your Turn — Practice Problems

Try all 5 problems on your own first. Write out your work — that's how it sticks!

💡 Tip: Don't peek at the answers until you've genuinely tried each one.

1

Solve: 3x + 5 = 20

2

Solve: 4x − 8 = 12

3

Solve: x/2 + 6 = 10

4

Solve: 6x − 3 = 27

5

Solve: 2x + 9 = 1

6

Solve: 5x + 10 = 0

7

Solve: x/4 − 3 = 1

8

Solve: −2x + 7 = 15

9

Solve: 3x − 12 = 0

10

Solve: x/6 + 2 = 5

11

Solve: 7x + 1 = −20

12

Solve: −4x − 8 = 0

Finished all 12? Give yourself a pat on the back — then check your work!

Keep going — you're on a roll!

Every topic you master is another step on your journey.

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