Solve the equation `5x = 30` by the trial and d by error method.

Answer

To solve the equation \(5x = 30\) using the trial and error method, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Equation**: We have the equation \(5x = 30\). Here, \(5\) is a constant, \(x\) is the variable we need to find, and \(30\) is also a constant.

2. **Start with a Guess**: We will start by guessing a value for \(x\). Let's try \(x = 1\).
- Substitute \(x = 1\) into the equation:
\[ 5 \times 1 = 5 \]
- Check if \(5\) equals \(30\):
\[ 5 \neq 30 \quad (\text{This guess is incorrect}) \]

3. **Try Another Value**: Next, let's try \(x = 2\).
- Substitute \(x = 2\) into the equation:
\[ 5 \times 2 = 10 \]
- Check if \(10\) equals \(30\):
\[ 10 \neq 30 \quad (\text{This guess is also incorrect}) \]

4. **Try a Higher Value**: Now, let's try \(x = 3\).
- Substitute \(x = 3\) into the equation:
\[ 5 \times 3 = 15 \]
- Check if \(15\) equals \(30\):
\[ 15 \neq 30 \quad (\text{This guess is still incorrect}) \]

5. **Continue Trying**: Next, we will try \(x = 4\).
- Substitute \(x = 4\) into the equation:
\[ 5 \times 4 = 20 \]
- Check if \(20\) equals \(30\):
\[ 20 \neq 30 \quad (\text{This guess is incorrect as well}) \]

6. **Try One More Value**: Finally, let's try \(x = 5\).
- Substitute \(x = 5\) into the equation:
\[ 5 \times 5 = 25 \]
- Check if \(25\) equals \(30\):
\[ 25 \neq 30 \quad (\text{This guess is incorrect too}) \]

7. **Find the Correct Value**: Now, let's try \(x = 6\).
- Substitute \(x = 6\) into the equation:
\[ 5 \times 6 = 30 \]
- Check if \(30\) equals \(30\):
\[ 30 = 30 \quad (\text{This guess is correct!}) \]

8. **Conclusion**: We have found that the value of \(x\) that satisfies the equation \(5x = 30\) is \(x = 6\).