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8) \\frac{2(5+x) - 3(5+x)}{5+x}

Question

  1. \frac{2(5+x) - 3(5+x)}{5+x}

Explanation:

Write down the initial algebraic expression

$$ \frac{2(5+x) - 3(5+x)}{5+x} $$

Combine like terms in the numerator

$$ \frac{(2 - 3)(5+x)}{5+x} = \frac{-1(5+x)}{5+x} $$

Simplify the fraction by canceling common terms

$$ -1, \quad \text{for } x eq -5 $$

Answer:

\(-1\) (for \(x
eq -5\))