Question

negative 4 left parenthesis 4 x minus 5 right parenthesis equals 4 x

Answer 1

To solve the equation \(-4(4x - 5) = 4x\), let's begin by distributing \(-4\) on the left side:

\[
-4(4x - 5) = -4 \cdot 4x + (-4) \cdot (-5) = -16x + 20
\]

So, the equation becomes:

\[
-16x + 20 = 4x
\]

Next, we can move all terms involving \(x\) to one side of the equation. To do this, add \(16x\) to both sides:

\[
20 = 4x + 16x
\]

This simplifies to:

\[
20 = 20x
\]

Now, divide both sides by 20:

\[
x = 1
\]

Thus, the solution to the equation is:

\[
\boxed{1}
\]