Question

4 simplify 5(x + 2) - 3x
a. 2x + 10
b. 2x + 5
c. 5x + 10 - 3x
d. 8x + 2

Explanation:

Step1: Apply distributive property

First, we use the distributive property \(a(b + c)=ab+ac\) to expand \(5(x + 2)\). So, \(5(x + 2)=5\times x+5\times2 = 5x+10\).

Step2: Combine like terms

Now we have the expression \(5x + 10-3x\). Combine the like terms (the terms with \(x\)). \(5x-3x=(5 - 3)x=2x\). So the simplified expression is \(2x + 10\).

Answer:

a. \(2x + 10\)