Math with Dotun

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𝗦𝗢𝗟𝗩𝗜𝗡𝗚 𝗘𝗤𝗨𝗔𝗧𝗜𝗢𝗡𝗦 𝗪𝗜𝗧𝗛 𝗩𝗔𝗥𝗜𝗔𝗕𝗟𝗘𝗦 𝗢𝗡 𝗕𝗢𝗧𝗛 𝗦𝗜𝗗𝗘𝗦 🔢
(𝗔𝗡𝗗 𝗕𝗥𝗔𝗖𝗞𝗘𝗧𝗦 𝗢𝗡 𝗕𝗢𝗧𝗛 𝗦𝗜𝗗𝗘𝗦)

Some algebra equations can look complicated because:
• there are brackets on both sides
• variables appear on both sides

But the process is still the same:
1️⃣ Expand the brackets
2️⃣ Collect variable terms together
3️⃣ Collect numbers together
4️⃣ Solve the equation

𝗦𝗢𝗟𝗩𝗜𝗡𝗚 𝗘𝗤𝗨𝗔𝗧𝗜𝗢𝗡𝗦 𝗪𝗜𝗧𝗛 𝗩𝗔𝗥𝗜𝗔𝗕𝗟𝗘𝗦 𝗢𝗡 𝗕𝗢𝗧𝗛 𝗦𝗜𝗗𝗘𝗦 🔢
(𝗔𝗡𝗗 𝗕𝗥𝗔𝗖𝗞𝗘𝗧𝗦 𝗢𝗡 𝗕𝗢𝗧𝗛 𝗦𝗜𝗗𝗘𝗦)

Some algebra equations can look complicated because:
• there are brackets on both sides
• variables appear on both sides

But the process is still the same:
1️⃣ Expand the brackets
2️⃣ Collect variable terms together
3️⃣ Collect numbers together
4️⃣ Solve the equation

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𝗕𝗔𝗦𝗜𝗖 𝗜𝗗𝗘𝗔 💡

If:
2(x + 3) = 3(x − 1)

Step 1:
Expand both brackets:

2x + 6 = 3x − 3

Step 2:
Subtract 2x from both sides:

6 = x − 3

Step 3:
Add 3 to both sides:

9 = x

So:

✅ x = 9

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𝗜𝗠𝗣𝗢𝗥𝗧𝗔𝗡𝗧 𝗜𝗗𝗘𝗔 ⚠️

Always expand ALL brackets first before moving terms around.

This makes the equation easier to see clearly.

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𝗠𝗢𝗥𝗘 𝗘𝗫𝗔𝗠𝗣𝗟𝗘𝗦 👇

1️⃣ 3(y + 2) = 2(y + 7)

Expand:

3y + 6 = 2y + 14

Subtract 2y:

y + 6 = 14

Subtract 6:

y = 8

✅ y = 8

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2️⃣ 4(a − 1) = 2(a + 5)

Expand:

4a − 4 = 2a + 10

Subtract 2a:

2a − 4 = 10

Add 4:

2a = 14

Divide by 2:

a = 7

✅ a = 7

---

3️⃣ 5(m + 1) = 3(m + 7)

Expand:

5m + 5 = 3m + 21

Subtract 3m:

2m + 5 = 21

Subtract 5:

2m = 16

Divide by 2:

m = 8

✅ m = 8

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𝗘𝗫𝗔𝗠𝗣𝗟𝗘 𝗪𝗜𝗧𝗛 𝗡𝗘𝗚𝗔𝗧𝗜𝗩𝗘𝗦 🔍

Example:
2(x − 4) = −(x + 3)

Expand carefully:

2x − 8 = −x − 3

Add x to both sides:

3x − 8 = −3

Add 8:

3x = 5

Divide by 3:

x = 5/3

✅ x = 5/3

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𝗖𝗛𝗘𝗖𝗞 𝗬𝗢𝗨𝗥 𝗔𝗡𝗦𝗪𝗘𝗥 ✅

Example:
2(x + 3) = 3(x − 1)

If x = 9:

Left side:
2(9 + 3) = 24

Right side:
3(9 − 1) = 24

24 = 24 ✔️

So the answer is correct.

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𝗪𝗔𝗧𝗖𝗛 𝗢𝗨𝗧 𝗙𝗢𝗥 𝗧𝗛𝗜𝗦 🚫

❌ Forgetting to expand every bracket
✔️ Expand carefully on both sides

❌ Making sign mistakes with negatives
✔️ Negative signs affect every term inside brackets

❌ Moving terms incorrectly
✔️ Use opposite operations carefully

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𝗪𝗛𝗬 𝗧𝗛𝗜𝗦 𝗠𝗔𝗧𝗧𝗘𝗥𝗦 💡

These equations help you:
• Build advanced algebra skills
• Understand expansion and balancing deeply
• Prepare for higher-level mathematics

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Expand carefully.
Collect terms correctly.
Solve step by step.