To solve the equation \(10x + 5 = 7x - 16\), follow these steps:
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Isolate the variable \(x\): Start by getting all terms involving \(x\) on one side and constant terms on the other.
\[ 10x - 7x = -16 - 5 \]
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Simplify both sides:
\[ 3x = -21 \]
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Solve for \(x\) by dividing both sides by 3:
\[ x = \frac{-21}{3} \]
\[ x = -7 \]
So, the solution is:
\[ x = -7 \]