Question

Solve for x.
minus, 3, left parenthesis, minus, x, minus, 2, right parenthesis, plus, 3, x, plus, 4, equals, minus, 44
−3(−x−2)+3x+4=
−44

Answer 1

To solve the equation

\[
-3(-x - 2) + 3x + 4 = -44,
\]

let's start by distributing the \(-3\) into the expression \(-x - 2\):

\[
-3(-x) - 3(-2) + 3x + 4 = -44.
\]

This simplifies to:

\[
3x + 6 + 3x + 4 = -44.
\]

Now, combine like terms:

\[
3x + 3x + 6 + 4 = -44,
\]
\[
6x + 10 = -44.
\]

Next, subtract \(10\) from both sides of the equation:

\[
6x + 10 - 10 = -44 - 10,
\]
\[
6x = -54.
\]

Now, divide both sides by \(6\):

\[
x = \frac{-54}{6},
\]
\[
x = -9.
\]

Thus, the solution for \(x\) is

\[
\boxed{-9}.
\]