To solve the equation \( 9x - 2 = -47 \), follow these steps:
-
Add 2 to both sides to isolate the term with \( x \): \[ 9x - 2 + 2 = -47 + 2 \] This simplifies to: \[ 9x = -45 \]
-
Divide both sides by 9 to solve for \( x \): \[ x = \frac{-45}{9} \] This simplifies to: \[ x = -5 \]
Therefore, the solution is: \[ \boxed{-5} \]