Question

which of these expressions is equivalent to $-2(x - 5)$?
$\bigcirc$ $-2x - 5$
$\bigcirc$ $-2x - 10$
$\bigcirc$ $-2x + 5$
$\bigcirc$ $-2x + 10$

Explanation:

Step1: Apply the distributive property

The distributive property states that \( a(b + c)=ab+ac \). For \( -2(x - 5) \), we distribute \(-2\) to both \(x\) and \(-5\). So we have \( -2\times x+(-2)\times(-5) \).

Step2: Simplify the terms

Simplify \( -2\times x=-2x \) and \( (-2)\times(-5) = 10\). Combining these, we get \( -2x + 10 \).

Answer:

\(-2x + 10\) (the option corresponding to this expression, e.g., if it's the last option, then: D. \(-2x + 10\))