To solve the equation \(-6x - 17 = 3x + 10\), we can follow these steps:
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Add \(6x\) to both sides to get all the \(x\) terms on one side:
\[ -6x + 6x - 17 = 3x + 6x + 10 \]
This simplifies to:
\[ -17 = 9x + 10 \]
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Subtract \(10\) from both sides to isolate the \(x\) term:
\[ -17 - 10 = 9x + 10 - 10 \]
This simplifies to:
\[ -27 = 9x \]
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Divide both sides by \(9\) to solve for \(x\):
\[ x = \frac{-27}{9} = -3 \]
So, the solution to the equation is \(x = -3\).
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