Question

Solve for x.
2, left parenthesis, minus, x, plus, 1, right parenthesis, plus, 5, x, plus, 4, equals, minus, 12
2(−x+1)+5x+4=
−12

Answer 1

We start with the equation:

\[ 2(-x + 1) + 5x + 4 = -12 \]

Now, let's distribute the \(2\) on the left side:

\[ 2 \cdot (-x) + 2 \cdot 1 + 5x + 4 = -12 \]

This simplifies to:

\[ -2x + 2 + 5x + 4 = -12 \]

Next, we can combine like terms on the left side. Combine \(-2x\) and \(5x\), and also combine \(2\) and \(4\):

\[ (-2x + 5x) + (2 + 4) = -12 \]

This results in:

\[ 3x + 6 = -12 \]

Now, to isolate \(3x\), we subtract \(6\) from both sides of the equation:

\[ 3x = -12 - 6 \]

This simplifies to:

\[ 3x = -18 \]

Next, divide both sides by \(3\) to solve for \(x\):

\[ x = \frac{-18}{3} \]

Thus, we have:

\[ x = -6 \]

So, the solution is:

\[ \boxed{-6} \]