Decide whether the statement is true or false.
The equation $5(x-6)=5 x-30$ is an example of an identity.
Final Answer: The statement is \(\boxed{true}\).
Step 1 :An identity in mathematics is an equation that is always true, no matter what values are chosen. If the equation \(5(x-6)=5x-30\) is an identity, it should hold true for all values of \(x\).
Step 2 :Let's simplify the equation \(5(x-6)=5x-30\).
Step 3 :The equation simplifies to \(x = x\), which is always true for all values of \(x\).
Step 4 :Therefore, the equation \(5(x-6)=5x-30\) is an identity.
Step 5 :Final Answer: The statement is \(\boxed{true}\).