Question

Move a term into each blank to create an equivalent expression.
-3/4(24x-12)=____+_____

Answer 1

To create an equivalent expression for \(-\frac{3}{4}(24x - 12)\), we first distribute \(-\frac{3}{4}\) across the terms inside the parentheses:

1. Distribute \(-\frac{3}{4}\) to \(24x\):
\[
-\frac{3}{4} \times 24x = -18x
\]

2. Distribute \(-\frac{3}{4}\) to \(-12\):
\[
-\frac{3}{4} \times -12 = 9
\]

Putting both parts together, we have:
\[
-\frac{3}{4}(24x - 12) = -18x + 9
\]

So, the equivalent expression you can fill in the blanks with is:
\[
-18x + 9
\]

Therefore, the expression is:
\[
-3/4(24x-12) = -18x + 9
\]