WEBVTT

1
00:00:00.000 --> 00:00:05.968
Here is the problem: negative 6(x minus 4) equals negative 8x minus 5.

2
00:00:06.418 --> 00:00:11.074
A linear equation in x: isolate x using inverse operations.

3
00:00:11.874 --> 00:00:13.383
Start with the equation.

4
00:00:13.833 --> 00:00:17.827
Simplify each side (distribute and combine like terms).

5
00:00:18.277 --> 00:00:20.390
Add 8x to both sides.

6
00:00:20.840 --> 00:00:23.986
Subtract 24 from both sides.

7
00:00:24.786 --> 00:00:26.690
Divide both sides by 2.

8
00:00:27.490 --> 00:00:34.061
So the answer is x equals negative 29 over 2 approximately negative 14.5.

9
00:00:34.511 --> 00:00:43.834
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

10
00:00:44.634 --> 00:00:54.050
x equals negative 14.5: left side equals 111, right side equals 111, which checks out.