Question

simplify.
-3(x+5)-2(x+2)

Explanation:

Step1: Apply distributive property

First, we use the distributive property \(a(b + c)=ab+ac\) to expand the terms. For \(-3(x + 5)\), we get \(-3\times x+(-3)\times5=-3x - 15\). For \(-2(x + 2)\), we get \(-2\times x+(-2)\times2=-2x - 4\). So the expression becomes \(-3x - 15-2x - 4\).

Step2: Combine like terms

Now, we combine the like terms (terms with \(x\) and constant terms). The terms with \(x\) are \(-3x\) and \(-2x\). Combining them: \(-3x-2x=-5x\). The constant terms are \(-15\) and \(-4\). Combining them: \(-15 - 4=-19\). So the simplified expression is \(-5x-19\).

Answer:

\(-5x - 19\)