To simplify the expression [tex]\(2x + 3 - x + 5\)[/tex], we need to combine like terms. Here's a step-by-step process to achieve that:
1. Identify the like terms in the expression.
- The terms involving [tex]\(x\)[/tex] are [tex]\(2x\)[/tex] and [tex]\(-x\)[/tex].
- The constant terms are [tex]\(3\)[/tex] and [tex]\(5\)[/tex].
2. Combine the [tex]\(x\)[/tex]-terms:
- [tex]\(2x - x = x\)[/tex]
3. Combine the constant terms:
- [tex]\(3 + 5 = 8\)[/tex]
4. Now, put together the simplified [tex]\(x\)[/tex]-term and the simplified constant term:
- [tex]\(x + 8\)[/tex]
Therefore, the simplified form of [tex]\(2x + 3 - x + 5\)[/tex] is [tex]\(\boxed{x + 8}\)[/tex], which corresponds to option B.
