−4(2x+1)+4x+3=−17

To solve the equation \(-4(2x+1)+4x+3=-17\), we'll start by distributing the \(-4\) on the left-hand side:

\[
-4(2x) - 4(1) + 4x + 3 = -17
\]

This simplifies to:

\[
-8x - 4 + 4x + 3 = -17
\]

Next, combine like terms:

\[
(-8x + 4x) + (-4 + 3) = -17
\]

This simplifies to:

\[
-4x - 1 = -17
\]

Now, add \(1\) to both sides of the equation:

\[
-4x - 1 + 1 = -17 + 1
\]

Which simplifies to:

\[
-4x = -16
\]

Now, divide both sides by \(-4\):

\[
x = 4
\]

Thus, the solution to the equation is:

\[
\boxed{4}
\]