Solving Simple Equation in Algebra


**In this lesson, you’ll learn how to solve simple algebraic equations.**  

That means finding the value of the variable (like `x` or `y`) that makes the equation true.


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### 🔹 **What is an Equation?**


An **equation** is like a balance. It has **two sides** and an **equal sign (=)** between them.


> **Example:**  

> `x + 3 = 7`


This means:  

"What number added to 3 gives 7?"


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### 🔸 **Step-by-Step Method**


Let’s solve this:


**`x + 3 = 7`**


➡️ **Step 1:** Subtract 3 from both sides:

x + 3 − 3 = 7 − 3  

x = 4

✅ So the answer is: **x = 4**


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### 🔸 **Example 2:**


**`y − 2 = 5`**


Add 2 to both sides:

y − 2 + 2 = 5 + 2  

y = 7

✅ So the answer is: **y = 7**


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### 🔸 **Example 3:**


**`a ÷ 2 = 6`**


Multiply both sides by 2:

a ÷ 2 × 2 = 6 × 2  

a = 12

✅ So the answer is: **a = 12**


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### ✨ **Important Rule to Remember:**


> **Whatever you do to one side of the equation,**  

> do the **same to the other side** to keep the balance!


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### ✅ **Practice Questions:**


Solve the following equations:


1. `x + 5 = 10`  

2. `m − 4 = 3`  

3. `y ÷ 3 = 4`  

4. `a × 2 = 16`


📩 Drop your answers in the comments below!

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