Question

Solve for x.
minus, 3, left parenthesis, minus, 3, x, plus, 2, right parenthesis, minus, 2, x, minus, 1, equals, minus, 35
−3(−3x+2)−2x−1=
−35

Answer 1

Let's solve the equation step by step:

We start with the equation:

\[
-3(-3x + 2) - 2x - 1 = -35
\]

First, distribute \(-3\) into \(-3x + 2\):

\[
-3 \times -3x = 9x \\
-3 \times 2 = -6
\]

So, the equation becomes:

\[
9x - 6 - 2x - 1 = -35
\]

Now combine like terms (\(9x\) and \(-2x\)) and also combine the constant terms (\(-6\) and \(-1\)):

\[
(9x - 2x) + (-6 - 1) = -35 \\
7x - 7 = -35
\]

Next, add \(7\) to both sides of the equation:

\[
7x - 7 + 7 = -35 + 7 \\
7x = -28
\]

Now, divide both sides by \(7\) to solve for \(x\):

\[
x = \frac{-28}{7} \\
x = -4
\]

Thus, the solution is:

\[
\boxed{-4}
\]