solve the two step equation

To solve the equation \(-2x + 7 = 21\), follow these steps:

1. **Subtract 7 from both sides:**
\[
-2x + 7 - 7 = 21 - 7
\]
This simplifies to:
\[
-2x = 14
\]

2. **Divide both sides by -2:**
\[
x = \frac{14}{-2}
\]
This simplifies to:
\[
x = -7
\]

So, the solution is \(x = -7\).