If `(x)/(6)=(7)/(-3)`. Then the value of `x` is

Options

A. `-14`
B. 14
C. 21
D. `-21`

Answer

To solve the equation \(\frac{x}{6} = \frac{7}{-3}\), we will follow these steps:

### Step 1: Rewrite the equation
We start with the equation:
\[ \frac{x}{6} = \frac{7}{-3} \]

### Step 2: Eliminate the fraction on the left side
To isolate \(x\), we can multiply both sides of the equation by \(6\):
\[ x = 6 \cdot \frac{7}{-3} \]

### Step 3: Simplify the right side
Now, we need to simplify the right side:
\[ x = \frac{6 \cdot 7}{-3} \]

### Step 4: Perform the multiplication
Calculate \(6 \cdot 7\):
\[ 6 \cdot 7 = 42 \]
So, we have:
\[ x = \frac{42}{-3} \]

### Step 5: Divide to find \(x\)
Now, we divide \(42\) by \(-3\):
\[ x = -14 \]

### Final Answer
Thus, the value of \(x\) is:
\[ \boxed{-14} \]