00:01
Okay, so in this problem, we are asked to solve for x given that the absolute value of 3x plus 4 equals negative 3.
00:09
So what i like to do when i'm solving for absolute value is i like to consider what can be the value inside of the absolute value to get this answer.
00:18
So some potential answers might be 3 or negative 3.
00:25
So let's pretend that it'll be negative 3.
00:29
Let's start with that.
00:29
We'll do 3x plus 4 equals negative 3.
00:33
So if we just go through and do our algebra, we can subtract four from each side.
00:39
We get 3x is equal to negative 7.
00:43
And then we'll divide by 3, and these cancel out.
00:47
And then you get over here, x equal to negative 7 thirds.
00:55
But the absolute value of negative 7 thirds is just positive 7 thirds...