If `""^(15)C_(x)=""^(15)C_(x+3)` , then find the value of X.

Explanation

To solve the equation \( \binom{15}{x} = \binom{15}{x+3} \), we can use the properties of combinations. Here’s the step-by-step solution:

### Step 1: Understand the properties of combinations
The combination formula is given by:
\[ \binom{n}{r} = \frac{n!}{r!(n-r)!} \]
In our case, we have \( n = 15 \).
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