Question

Solver for x
-4(2x + 5) + x + 2=-11

Answer 1

To solve the equation \(-4(2x + 5) + x + 2 = -11\), let's start by distributing the \(-4\) on the left side:

\[
-4 \cdot 2x - 4 \cdot 5 + x + 2 = -11
\]

This simplifies to:

\[
-8x - 20 + x + 2 = -11
\]

Now, combine like terms. Combine the \(x\) terms and the constant terms:

\[
(-8x + x) + (-20 + 2) = -11
\]

This gives us:

\[
-7x - 18 = -11
\]

Next, isolate the term with \(x\) by adding \(18\) to both sides:

\[
-7x - 18 + 18 = -11 + 18
\]

This simplifies to:

\[
-7x = 7
\]

Now, divide both sides by \(-7\):

\[
x = \frac{7}{-7}
\]

Thus, we find:

\[
x = -1
\]

So, the solution is:

\[
\boxed{-1}
\]