Question

Solve 2(x - 4) - 6(2x - 3) = 0
a. x = -4
b. x = -1
c. x = 0
d. x = 1

Answer 1

2(x - 4) - 6(2x - 3) = 0

Distribute the 2 and the 6 using the distributive property, which is: a(b+c) = ab + ac

2x - 8 - 12x + 18 = 0

Simplify

-10x + 10 = 0

Add 10 on both sides

-10x = -10

Divide -10 on both sides

-10x/-10 = -10/-10

x = 1


Your final answer is d. x = 1.