WEBVTT

1
00:00:00.000 --> 00:00:05.132
Here is the problem: negative 7x minus 19 equals negative 7.

2
00:00:05.582 --> 00:00:10.342
A linear equation in x: isolate x using inverse operations.

3
00:00:11.142 --> 00:00:12.593
Start with the equation.

4
00:00:13.043 --> 00:00:14.970
Add 19 to both sides.

5
00:00:15.420 --> 00:00:17.997
Divide both sides by negative 7.

6
00:00:18.797 --> 00:00:26.483
So the answer is x equals negative 12 over 7 approximately negative 1.7142857.

7
00:00:26.933 --> 00:00:36.325
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

8
00:00:37.125 --> 00:00:46.680
x equals negative 1.7142857: left side equals negative 7, right side equals negative 7, which checks out.
