y = –5x – 2

y + 2 = –5x

To solve for x, let's start with the given equation:

y + 2 = -5x

To isolate x, let's move the constant term (2) to the right side by subtracting 2 from both sides:

y + 2 - 2 = -5x - 2

This simplifies to:

y = -5x - 2

Now divide both sides by -5 to solve for x:

(y/(-5)) = (-5x)/(-5) - 2/(-5)

This further simplifies to:

(-y/5) = x + 2/5

Rearranging the equation to isolate x:

x = (-y/5) - 2/5