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

Using the distributive property \(a(b + c)=ab+ac\), we expand \(5(x + 2)\) to get \(5x+10\). So the expression becomes \(5x + 10-3x\).

Step2: Combine like terms

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

Answer:

The simplest form is \(2x + 10\). The first step used the distributive property.