QUESTION IMAGE
Question
mika used these steps to solve the equation 5x - 12 = -2 + 5(x - 2). which choice describes the meaning of her result, -12 = -12? the solution is x = -12. the result is not correct because the solution should be a positive integer. all values of x make the equation true. no values of x make the equation true. step 1 5x - 12 = -2 + 5(x - 2) step 2 5x - 12 = -2 + 5x - 10 step 3 5x - 12 = 5x - 10 - 2 step 4 -12 = -2 - 10 step 5 -12 = -12
Step1: Analyze the given equation solving steps
The original equation is \(5x - 12=-2 + 5(x - 2)\). First, expand the right - hand side: \(5x-12=-2 + 5x-10\). Then simplify the right - hand side to get \(5x - 12=5x-12\). This is an identity, which means that for all real values of \(x\), the left - hand side is equal to the right - hand side.
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All values of x make the equation true.