Solving Equations with Brackets on Both Sides

🧮 Example:

Solve:

2(x + 3) = 3(x - 1)

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✏️ Step 1: Expand Both Sides

Use the distributive property:

Left side:

2(x + 3) = 2x + 6

Right side:

3(x - 1) = 3x - 3

Now your equation becomes:

2x + 6 = 3x - 3

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✏️ Step 2: Move Variables to One Side

Subtract 2x from both sides:

2x - 2x + 6 = 3x - 2x - 3

6 = x - 3

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✏️ Step 3: Solve for x

Add 3 to both sides:

6 + 3 = x - 3 + 3

9 = x

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✅ Final Answer:

x = 9

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💡 Quick Tip:

👉 Always expand brackets first

👉 Move all variable terms to one side

👉 Move numbers to the opposite side

👉 Solve carefully, step by step!

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