Solve and verify the solution obtained in each of the following equations.
`5x + 7 = 32`

Answer

### Step-by-Step Solution

**Step 1: Write the equation.**
The given equation is:
\[ 5x + 7 = 32 \]

**Step 2: Isolate the term with x.**
To isolate the term with \( x \), subtract 7 from both sides of the equation:
\[ 5x + 7 - 7 = 32 - 7 \]
This simplifies to:
\[ 5x = 25 \]

**Step 3: Solve for x.**
Now, divide both sides by 5 to solve for \( x \):
\[ x = \frac{25}{5} \]
This simplifies to:
\[ x = 5 \]

**Step 4: Verify the solution.**
To verify the solution, substitute \( x = 5 \) back into the original equation:
\[ 5(5) + 7 = 32 \]
Calculating the left side:
\[ 25 + 7 = 32 \]
Since both sides are equal, the solution is verified.

### Final Answer
The solution to the equation \( 5x + 7 = 32 \) is \( x = 5 \).