Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14.

Complete question is:

Nancy is checking to determine if the expressions x+4+x and 6+2x-2 are equivalent. When x=3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x = 14. What about the second expression?

Answer:

when x = 5; both expressions are equivalent and equal to 14

Step-by-step explanation:

We are told the expressions are:

(x + 4 + x) and (6 + 2x - 2).

We are also told that when x = 3, both expressions are equal and have a value of 10 each.

Now, when x = 5; we are told the expression (x + 4 + x) has a value of 14.

So when x = 5, let's find the value of the second expression by putting 5 for x in (6 + 2x - 2);

So, we have; 6 + 2 (5) - 2 = 6 + 10 - 2 = 14

So when x = 5; both expressions are equivalent and equal to 14