When you multiply $-4$ by $2$ and then by $-x$, what happens to the signs of each term? Remember: negative times negative is positive.

After you expand, you may get an expression like a constant plus an $x$-term. Try rewriting it with the $x$-term first to compare it to the answer choices.

In Desmos, type the original expression exactly as given: -4(2 - x) on one line.

On new lines, type each option: 8 - 4x, -8 - 4x, 8 + 4x, and 4x - 8. You will now have five lines (the original plus the four choices).

Look at the graphs: the line that lies exactly on top of the graph of -4(2 - x) for all $x$ corresponds to the equivalent expression. You can also add a table for the original and each choice and compare $y$-values for several $x$-values; the matching one is the correct choice.

Use the distributive property: multiply $-4$ by each term inside the parentheses.

• First term: $-4 \times 2$
• Second term: $-4 \times (-x)$

Write the result as the sum of these two products.

Now calculate each product:

• $-4 \times 2 = -8$ (negative times positive is negative)
• $-4 \times (-x) = 4x$ (negative times negative is positive)

So the expression becomes $-8 + 4x$.

Standard form usually writes the $x$-term first, then the constant term. So rewrite $-8 + 4x$ with the $x$-term first:

Therefore, the expression equivalent to $-4(2 - x)$ is $4x - 8$, which corresponds to choice D.