Question

1. simplify: 0.3(4x - 2) - 0.5(x + 6)

a. 0.7x - 3.6

b. 1.2x - 6

c. 0.7x + 2

d. 1.2x + 1

Explanation:

Step1: Apply distributive property

$0.3(4x - 2) = 1.2x - 0.6$; $0.5(x + 6) = 0.5x + 3$

Step2: Subtract the two expressions

$(1.2x - 0.6) - (0.5x + 3) = 1.2x - 0.6 - 0.5x - 3$

Step3: Combine like terms

$(1.2x - 0.5x) + (-0.6 - 3) = 0.7x - 3.6$

Answer:

a. 0.7x - 3.6