Question

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

\[
-8x + 4
\]