Algebra & Expressions
Multi-Step Equations
Multi-step equations may require combining like terms, using the distributive property, and moving variables to one side before solving.
Watch & Learn
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Worked Examples
Follow along with these step-by-step examples. Take your time — there's no rush!
Problem
Solve: 3x + 4 = x + 12
Step-by-Step Solution
Move variables to one side: subtract x from both sides: 2x + 4 = 12
Subtract 4 from both sides: 2x = 8
Divide by 2: x = 4
Answer
x = 4
Problem
Solve: 2(x + 3) = 14
Step-by-Step Solution
Distribute: 2x + 6 = 14
Subtract 6: 2x = 8
Divide by 2: x = 4
Answer
x = 4
Problem
Solve: 5x − 2 = 3x + 8
Step-by-Step Solution
Subtract 3x from both sides: 2x − 2 = 8
Add 2 to both sides: 2x = 10
Divide by 2: x = 5
Answer
x = 5
Problem
Solve: 4(x − 1) = 2x + 6
Step-by-Step Solution
Distribute: 4x − 4 = 2x + 6
Subtract 2x: 2x − 4 = 6
Add 4: 2x = 10
Divide by 2: x = 5
Answer
x = 5
Problem
Solve: 3x + 2x − 7 = 18
Step-by-Step Solution
Combine like terms on the left: 5x − 7 = 18
Add 7 to both sides: 5x = 25
Divide by 5: x = 5
Answer
x = 5
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.
Solve: 4x + 2 = 2x + 10
Solve: 3(x − 2) = 9
Solve: 7x − 5 = 4x + 10
Solve: 2(3x + 1) = 20
Solve: 6x + 4 = 2x − 8
Solve: 5(x + 1) = 3x + 11
Solve: 8x − 3 = 5x + 9
Solve: 2x + 4x − 5 = 13
Solve: 4(x + 3) = 28
Solve: 9x − 2x + 1 = 22
Solve: 3x − 7 = x + 5
Solve: 2(x − 4) = x + 1
Finished all 12? Give yourself a pat on the back — then check your work!
Keep going — you're on a roll!
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