Move a term into each blank to create an equivalent expression

Question

-3/4(24x-12)=____+____

Answer 1

To create an equivalent expression for \(-\frac{3}{4}(24x - 12)\) in the form of two separate terms added together, we first need to distribute \(-\frac{3}{4}\) across the terms inside the parentheses.

Let's calculate it step by step:

1. Distribute \(-\frac{3}{4}\) to \(24x\): \[ -\frac{3}{4} \cdot 24x = -\frac{72x}{4} = -18x \]

2. Distribute \(-\frac{3}{4}\) to \(-12\): \[ -\frac{3}{4} \cdot (-12) = \frac{36}{4} = 9 \]

Now we can piece these results together: \[ -\frac{3}{4}(24x - 12) = -18x + 9 \]

So, the final expression is: \[ -18x + 9 \]

You can fill the blanks as follows: -3/4(24x - 12) = -18x + 9.