Move a term into each blank to create an equivalent expression.

Question

-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: \[ -3/4(24x-12) = -18x + 9 \]