Question 5: Error Analysis
Read the problem below. The problem was solved incorrectly. Find the error that was made and explain it. Then answer the problem correctly.
3x + 2x - 6 =24
The error in the problem is that the equation was not combined correctly.
The original equation 3x + 2x - 6 = 24 can be simplified by combining like terms on the left side:
3x + 2x - 6 = 24
(3 + 2)x - 6 = 24
5x - 6 = 24
To solve for x, we can isolate the x term by adding 6 to both sides of the equation:
5x - 6 + 6 = 24 + 6
5x = 30
Finally, divide both sides of the equation by 5 to solve for x:
5x/5 = 30/5
x = 6
The correct answer to the problem is x = 6.