Solve for x.

3, left parenthesis, 2, x, plus, 2, right parenthesis, minus, x, minus, 3, equals, minus, 12
3(2x+2)−x−3=
−12

1 answer

Let's solve the equation step by step.

Given the equation:

\[ 3(2x + 2) - x - 3 = -12 \]

  1. Distribute the \(3\) to the terms inside the parentheses:

\[ 3 \cdot 2x + 3 \cdot 2 - x - 3 = -12 \]

This simplifies to:

\[ 6x + 6 - x - 3 = -12 \]

  1. Combine like terms (combine \(6\) and \(-3\), and \(6x\) and \(-x\)):

\[ 6x - x + 6 - 3 = -12 \]

This gives:

\[ 5x + 3 = -12 \]

  1. Now, isolate \(5x\) by subtracting \(3\) from both sides:

\[ 5x = -12 - 3 \]

Which simplifies to:

\[ 5x = -15 \]

  1. Finally, divide both sides by \(5\):

\[ x = \frac{-15}{5} \]

This simplifies to:

\[ x = -3 \]

So the solution is:

\[ \boxed{-3} \]