In this video, Marca is solving a first-degree equation and explaining the process in detail. The equation is:
3(5 + x) - 2x = 42
Marca starts by distributing the 3 to the terms inside the parentheses, resulting in:
15 + 3x - 2x = 42
He then combines like terms, resulting in:
15 + x = 42
Next, Marca moves the 15 to the other side of the equation by subtracting 15 from both sides, resulting in:
x = 27
However, Marca realizes that he made a mistake and re-evaluates the equation. He recombines the terms, resulting in:
3x + 6 - 3 = 27
Which simplifies to:
3x + 3 = 27
Finally, Marca solves for x by subtracting 3 from both sides and then dividing both sides by 3, resulting in:
x = 10
Here are the key facts extracted from the text:
1. The video is about solving a first-degree equation.
2. The equation is 3(5x - 2x) + 11 = 42.
3. The first step is to multiply the numbers outside the parentheses by the numbers inside.
4. The distributive property is used to eliminate the parentheses.
5. The equation is then simplified to -3x + 6x + 15 = 42.
6. The goal is to find the value of x by isolating it on one side of the equation.
7. The numbers with x are moved to the left side of the equation, and the numbers without x are moved to the right side.
8. The numbers on the right side are subtracted from 42 to get 27.
9. The equation is then solved to find the value of x, which is equal to 10.