To solve the equation \( 5 ( z - 10 ) = 65 \) for \( z \), follow these steps:
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Divide both sides by 5: \[ z - 10 = \frac{65}{5} \] \[ z - 10 = 13 \]
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Add 10 to both sides: \[ z = 13 + 10 \] \[ z = 23 \]
Thus, the solution is \( z = 23 \).
Since you requested the solution in the form \( x = _ \), we can rewrite it as: \[ x = 23 \]