WEBVTT

1
00:00:00.000 --> 00:00:05.178
Here is the problem: 0.5x plus 1.25 equals 3.

2
00:00:05.628 --> 00:00:10.493
A linear equation in x: isolate x using inverse operations.

3
00:00:11.293 --> 00:00:12.767
Start with the equation.

4
00:00:13.217 --> 00:00:16.897
Simplify each side (distribute and combine like terms).

5
00:00:17.347 --> 00:00:20.575
Subtract 5 over 4 from both sides.

6
00:00:21.025 --> 00:00:25.123
Divide both sides by 1 over 2 (multiply by its reciprocal).

7
00:00:25.923 --> 00:00:30.544
So the answer is x equals 7 over 2 approximately 3.5.

8
00:00:30.994 --> 00:00:40.119
Doing the same operation to both sides keeps the equation balanced. Undoing addition, then multiplication, leaves x alone.

9
00:00:40.919 --> 00:00:48.407
x equals 3.5: left side equals 3, right side equals 3, which checks out.