WEBVTT

1
00:00:00.000 --> 00:00:05.573
Here is the problem: negative 1(x minus 7) equals 8x minus 5.

2
00:00:06.023 --> 00:00:10.655
A linear equation in x: isolate x using inverse operations.

3
00:00:11.455 --> 00:00:12.953
Start with the equation.

4
00:00:13.403 --> 00:00:17.095
Simplify each side (distribute and combine like terms).

5
00:00:17.545 --> 00:00:20.215
Subtract 8x from both sides.

6
00:00:20.665 --> 00:00:22.813
Subtract 7 from both sides.

7
00:00:23.613 --> 00:00:26.283
Divide both sides by negative 9.

8
00:00:27.083 --> 00:00:33.875
So the answer is x equals 4 over 3 approximately 1.3333333.

9
00:00:34.325 --> 00:00:43.659
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

10
00:00:44.459 --> 00:00:58.310
x equals 1.3333333: left side equals 5.6666667, right side equals 5.6666667, which checks out.