Question

part d

1. rewrite $5(x + 2) - 3x$ in simplest form.

explain which property you used in your first step.

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b + c)=ab+ac\) to expand \(5(x + 2)\). So \(5(x + 2)=5\times x+5\times2 = 5x + 10\). The expression becomes \(5x+10 - 3x\).

Step2: Combine like terms

Combine the \(x\)-terms: \(5x-3x=(5 - 3)x = 2x\). So the simplified expression is \(2x + 10\).

Answer:

The simplified form of \(5(x + 2)-3x\) is \(2x + 10\). The first step uses the distributive property.