Question

17
2(p+1) + 8(p-1) = 5p
What value of p is the solution of the equation
above?

Answer 1

The value of p that satisfies the equation is 6/5.

Step-by-step explanation:

To find the value of p that satisfies the equation, we can begin by simplifying the left side of the equation:

1. First, distribute the coefficients to the terms within the parentheses:
   2(p+1) + 8(p-1) = 5p
   2p + 2 + 8p - 8 = 5p
2. Next, combine like terms:
   10p - 6 = 5p
3. Now, isolate the variable p by getting all the p terms on one side and the constant terms on the other:
   10p - 5p = 6
   5p = 6
   p = 6/5

Therefore, the value of p that satisfies the equation is 6/5.

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