WEBVTT

1
00:00:00.000 --> 00:00:04.191
Here is the problem: 8x plus 19 equals negative 20.

2
00:00:04.641 --> 00:00:09.239
A linear equation in x: isolate x using inverse operations.

3
00:00:10.039 --> 00:00:11.537
Start with the equation.

4
00:00:11.987 --> 00:00:14.472
Subtract 19 from both sides.

5
00:00:14.922 --> 00:00:16.849
Divide both sides by 8.

6
00:00:17.649 --> 00:00:24.627
So the answer is x equals negative 39 over 8 approximately negative 4.875.

7
00:00:25.077 --> 00:00:34.226
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

8
00:00:35.026 --> 00:00:44.047
x equals negative 4.875: left side equals negative 20, right side equals negative 20, which checks out.