Find the solution of the following equations by trial-and-error method.
`4x=12`

Answer

To solve the equation \(4x = 12\) using the trial-and-error method, we will test different values for \(x\) until we find the one that satisfies the equation.

### Step-by-Step Solution:

1. **Understand the equation**: We have the equation \(4x = 12\). Our goal is to find the value of \(x\) that makes this equation true.

2. **Start with a value for \(x\)**: Let's begin by testing \(x = 1\).
- Substitute \(x = 1\) into the equation:
\[ 4 \times 1 = 4 \]
- Compare with the right-hand side (RHS):
\[ 4 \neq 12 \]
- This value does not satisfy the equation.

3. **Try the next value**: Now, let's test \(x = 2\).
- Substitute \(x = 2\) into the equation:
\[ 4 \times 2 = 8 \]
- Compare with the RHS:
\[ 8 \neq 12 \]
- This value also does not satisfy the equation.

4. **Try another value**: Next, we will test \(x = 3\).
- Substitute \(x = 3\) into the equation:
\[ 4 \times 3 = 12 \]
- Compare with the RHS:
\[ 12 = 12 \]
- This value satisfies the equation.

5. **Conclusion**: Since \(x = 3\) makes the left-hand side (LHS) equal to the right-hand side (RHS), we conclude that the solution to the equation \(4x = 12\) is:
\[ x = 3 \]