WEBVTT

1
00:00:00.000 --> 00:00:04.481
Here is the problem: negative 7x plus 7 equals 16.

2
00:00:04.931 --> 00:00:09.656
A linear equation in x: isolate x using inverse operations.

3
00:00:10.456 --> 00:00:11.919
Start with the equation.

4
00:00:12.369 --> 00:00:14.563
Subtract 7 from both sides.

5
00:00:15.013 --> 00:00:17.474
Divide both sides by negative 7.

6
00:00:18.274 --> 00:00:25.983
So the answer is x equals negative 9 over 7 approximately negative 1.2857143.

7
00:00:26.433 --> 00:00:35.605
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

8
00:00:36.405 --> 00:00:46.854
x equals negative 1.2857143: left side equals 16, right side equals 16, which checks out.
