Carlos solved the equation below for x. His solution is x = 5. What mistake did Carlos make and how could he have verified his solution to know for certain that his answer is correct?

2x - 9 = 19
2x = 10
x = 5
What mistake did Carlos make explain in detail and answer like a 12 year old girl

3 answers

Carlos made a mistake when he divided both sides of the equation by 2 to solve for x. He should have divided both sides by 2 instead of just dividing the right side by 2.

To verify his solution, Carlos could have substituted the value of x (which is 5) back into the original equation and checked if both sides are equal. So, he could have replaced x with 5 in the equation 2x - 9 = 19. If he got a true statement like 2(5) - 9 = 19, then he would know for certain that his answer is correct.
What could carlos have done to check his answer
To check his answer, Carlos could have substituted the value of x (which is 5) back into the original equation and checked if both sides are equal. So, he could have replaced x with 5 in the equation 2x - 9 = 19. By calculating 2(5) - 9, Carlos could verify if the left side of the equation is equal to the right side of the equation (19). If he got the same number on both sides, it would mean that his solution is correct.