Question

How many solutions exist for the given equation?

1/2(x + 12) = 4x-1
zero
one
two
infinitely many

Answer 1

one

Explanation:

Given

`(1)/(2)` (x + 12) = 4x - 1 ( multiply through by 2 to clear the fraction )

x + 12 = 8x - 2 ( subtract x from both sides )

12 = 7x - 2 ( add 2 to both sides )

14 = 7x ( divide both sides by 7 )

2 = x

There is one solution to the equation, that is x = 2