00:01
We're given this absolute value equation, we are asked to solve for x.
00:04
The first thing that we need to do is to isolate our absolute value expression.
00:09
So that means getting rid of this positive 1 and getting rid of this 2 that's multiplied by our expression.
00:15
So to start that, we're going to subtract 1 from both sides.
00:19
So we get 2 times the absolute value of x minus 3 equals 1.
00:29
Now we have this 2 being multiplied by x minus 3, so we're going to divide both sides.
00:35
By x minus 3, and we get the absolute value of x minus 3 equals 1 half.
00:42
Now from here, because we have an absolute value equaling a positive, we need to break our absolute value into two separate equations, because if the interior is a positive, we get a positive, and if the interior is a negative, we will still get a positive since we're taking absolute value.
01:01
So we got x minus 3 equals 1 half, and we get x.
01:10
Minus 3 equals negative 1 half.
01:20
The steps are the same in both equations.
01:22
To get x by itself, we add 3 to both sides.
01:29
Now, we have a fraction plus a whole number...