Problem

Decide whether the statement is true or false. The equation $5(x-6)=5 x-30$ is an example of an identity.

Solution

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 \(\boxed{true}\).

From Solvely APP
Source: https://solvelyapp.com/problems/16729/

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