An expression is shown that represents the change in Jake's cafeteria account balance after he bought some giant cookies that cost

Question

each and he was given a credit. -2/3(12x-6)=

Answer 1

To simplify the expression \(-\frac{2}{3}(12x - 6)\), we can distribute \(-\frac{2}{3}\) to each term inside the parentheses.

Starting with the expression:

\[ -\frac{2}{3}(12x - 6) \]

Distributing \(-\frac{2}{3}\):

1. For the first term: \[ -\frac{2}{3} \cdot 12x = -\frac{24}{3}x = -8x \]

2. For the second term: \[ -\frac{2}{3} \cdot (-6) = \frac{12}{3} = 4 \]

Putting these together, the expression becomes:

\[ -8x + 4 \]

So, the simplified expression representing the change in Jake's cafeteria account balance is:

\[ -8x + 4 \]