QuestionEight times a number, $x$, equals one-third of the sum of the number and two. Which equation represents this? $8 x=\frac{1}{3}(x+2)$

Studdy Solution
Now, let's compare this equation with the given options to find the correct representation.
Option1 $8x + \frac{1}{3}(x +2)$This is not correct as it adds $8x$ and $\frac{1}{3}(x +2)$, but we need an equation where $8x$ is equal to $\frac{1}{3}(x +2)$.
Option2 $8x = \frac{1}{3}(x +2)$This is the correct representation as it matches with our translated equation.
Option3 $8x = \frac{1}{3}x +2$ This is not correct as it represents $8x$ as equal to $\frac{1}{3}x +2$, not $\frac{1}{3}(x +2)$.
Option $8x + \frac{1}{3}x +2$ This is not correct as it adds $8x$, $\frac{1}{3}x$, and $2$ together, but we need an equation where $8x$ is equal to $\frac{1}{3}(x +2)$.
So, the correct representation of the situation is $8x = \frac{1}{3}(x +2)$.