Solve: `(x)/(5)=12`. Check the result.

Answer

To solve the equation \(\frac{x}{5} = 12\), we will follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ \frac{x}{5} = 12 \]

### Step 2: Eliminate the fraction
To eliminate the fraction, we can multiply both sides of the equation by 5. This will help us isolate \(x\).
\[ 5 \cdot \frac{x}{5} = 5 \cdot 12 \]

### Step 3: Simplify both sides
On the left side, the 5s will cancel out:
\[ x = 60 \]

### Step 4: Check the result
Now we will check if our solution \(x = 60\) is correct by substituting it back into the original equation:
\[ \frac{60}{5} = 12 \]

### Step 5: Simplify the left side
Calculating the left side:
\[ \frac{60}{5} = 12 \]

### Step 6: Verify the equality
Since both sides are equal:
\[ 12 = 12 \]
This confirms that our solution is correct.

### Final Answer
The solution to the equation \(\frac{x}{5} = 12\) is:
\[ x = 60 \]

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