Question

Which of the following is (are) the solution(s) to |7x+12|=12 ?

O A. x- 240
O B. x=-24
O c. x=-240
D. x = 0

Answer 1

`x=-(24)/(7), x=0`

Explanation:

|7x+12|=12

If |u| = a, a > 0, then u = a or u = -a.

`7x+12=12 \text { or } 7x+12=-12`

Solve for 'x' on both equations:

Equation One:

`7x+12=12\\\\7x+12-12=12-12\\\\7x=0\\\\7x/7=0/7\\\\\boxed{x=0}`

Equation 2:

`7x+12=-12\\\\7x+12-12=-12-12\\\\7x=-24\\\\7x/7=-24/7\\\\\boxed{x=-(24)/(7)}`

Therefore:

`|7x+12|=12\\\\\boxed{x=-(24)/(7), x=0}`