Final answer:
The equation given translates into the mathematical terms: 3x + 19 = -31 - 2x. Simplifying and solving the equation gives the solution: x = -10.
Step-by-step explanation:
This question is asking you to solve a linear equation. To do so, we first need to understand the given equation and put it into mathematical terms: 19 more than three times a number is equal to the difference between -31 and twice the number. This translates to 3x + 19 = -31 - 2x.
Then, you would add 2x to both sides to get the x terms together, and subtract 19 from both sides to isolate the constant term. This simplifies to 5x = -50.
Finally, divide both sides by 5, we get x = -10.
Learn more about Solving Linear Equations