Answer:True
Step-by-step explanation: To determine if the equation is an identity (true for all values of x) or not, we need to simplify both sides of the equation and see if they are equal regardless of the value of x. Let's simplify the equation step by step:
1. Start by distributing the 3 on the left side: 3*x - 3*3 + 1 = 3x - 8 This simplifies to: 3x - 9 + 1 = 3x - 8
2. Combine like terms on the left side: 3x - 8 = 3x - 8
After simplification, we can see that both sides of the equation are equal to each other. This means that the equation is an identity. Therefore, the statement "The equation 3(x-3)+1=3x-8 is an identity" is TRUE.
