Solve the equations by trial-and-error method.
`17+x=24`

Answer

To solve the equation \( 17 + x = 24 \) using the trial-and-error method, we will follow these steps:

### Step 1: Understand the equation
The equation we need to solve is \( 17 + x = 24 \). We want to find the value of \( x \) that makes this equation true.

### Step 2: Identify the range for \( x \)
Since \( 24 \) is greater than \( 17 \), we know that \( x \) must be a positive number.

### Step 3: Start with a guess for \( x \)
Let's start by guessing a value for \( x \). We can try \( x = 3 \).

### Step 4: Calculate the left-hand side (LHS)
Substituting \( x = 3 \) into the equation:
\[ LHS = 17 + 3 = 20 \]
This is less than \( 24 \).

### Step 5: Try a larger value for \( x \)
Next, let's try \( x = 5 \).

### Step 6: Calculate the LHS again
Substituting \( x = 5 \):
\[ LHS = 17 + 5 = 22 \]
This is still less than \( 24 \).

### Step 7: Try a larger value for \( x \) again
Now, let's try \( x = 7 \).

### Step 8: Calculate the LHS once more
Substituting \( x = 7 \):
\[ LHS = 17 + 7 = 24 \]
This equals \( 24 \), which is the right-hand side (RHS) of the equation.

### Conclusion
Since the left-hand side equals the right-hand side when \( x = 7 \), we have found the solution:
\[ x = 7 \]