−x−2=2x+10

Answer 1

To solve the equation \(-x - 2 = 2x + 10\), follow these steps:

1. Move all terms involving \(x\) to one side: Add \(x\) to both sides of the equation to eliminate the \(-x\) on the left side.

   \[ -x + x - 2 = 2x + x + 10 \] \[ -2 = 3x + 10 \]

2. Move the constant to the other side: Subtract 10 from both sides to isolate terms with \(x\).

   \[ -2 - 10 = 3x + 10 - 10 \] \[ -12 = 3x \]

3. Solve for \(x\): Divide both sides by 3.

   \[ x = \frac{-12}{3} \] \[ x = -4 \]

Thus, the solution to the equation \(-x - 2 = 2x + 10\) is

\[ \boxed{-4} \]