To solve the equation \( 10x + 5 = 7x - 16 \), we can follow these steps:
- Subtract \( 7x \) from both sides:
\[ 10x - 7x + 5 = -16 \]
This simplifies to:
\[ 3x + 5 = -16 \]
- Next, subtract \( 5 \) from both sides:
\[ 3x = -16 - 5 \]
This simplifies to:
\[ 3x = -21 \]
- Finally, divide both sides by \( 3 \):
\[ x = \frac{-21}{3} \]
This simplifies to:
\[ x = -7 \]
So, the solution is:
\[ x = -7 \]
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