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Identity property. Anything multiplied by 1 will give an answer identical to the operand.
The idea is to use the addition/subtraction property. In other words, take the derivative of 5x, take the derivative of 1, and subtract the results.
The equation is true because of the reflexive property of equality which states in words that every quantity is equal to inself.
5x-1+2= 5x+1
addition