To solve the equation \(-7 - 2(5x - 6) = -2\), you'll follow these steps:
Distribute the \(-2\) into \( (5x - 6) \):
\[ -7 - 10x + 12 = -2 \]
Combine like terms on the left side:
\[ 5 - 10x = -2 \]
Now, isolate the term with \(x\) by subtracting \(5\) from both sides:
\[ -10x = -2 - 5 \]
\[ -10x = -7 \]
Divide both sides by \(-10\) to solve for \(x\):
\[ x = \frac{-7}{-10} = \frac{7}{10} \]
So, the solution is:
\[ x = \frac{7}{10} \]