If ` vec aa n d vec b` are non-collinear vectors, find the value of `x` for which the vectors ` vecalpha=(2x+1) vec a- vec b""a n d"" vecbeta=(x-2)"" vec a+ vec b` are collinear.

Explanation

To solve the problem, we need to find the value of \( x \) for which the vectors \( \vec{\alpha} \) and \( \vec{\beta} \) are collinear.

### Step-by-Step Solution:

1. **Define the vectors**:
\[ \vec{\alpha} = (2x + 1) \vec{a} - \vec{b} \]
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