Question

create an equivalent expression using the fewest terms possible.
(4x - 7)·2
8x - 14
8x + 14
6x + 7
8x - 7

Explanation:

Step1: Apply distributive property

We use the distributive property \(a(b - c)=ab - ac\), here \(a = 2\), \(b=4x\), \(c = 7\). So \((4x-7)\cdot2=4x\cdot2-7\cdot2\)

Step2: Calculate each term

Calculate \(4x\cdot2 = 8x\) and \(7\cdot2=14\). Then we get \(8x - 14\)

Answer:

\(8x - 14\) (corresponding to the yellow - colored option: \(8x - 14\))