16x=10 (x+1) = 26 (+1) - 16

The solution to the first pair of equal expressions is:

16x = 10 (x + 1)

16x = 10x + 10

6x = 10

x = 10/6 = 1 and 2/3

The solution to the second pair of equal expressions is:

10 (x + 1) = 26 (+1) - 16

The left side is 10 (x + 1) = 10x + 10

The right side is 26 (+1) - 16 = 26-16 = 10

The equation now says 10x + 10 = 10

Subtract 10 from each side: 10x = 0

The solution to this pair of equal expressions is x = 0.

I think I understand the weird question now. It's trying to say that

the first expression is equal to both the second and third expressions.

Let's try the first and the third:

16x = 26 (+1) - 16

16x = 26 - 16

16x = 10

x = 10/16 = 5/8 = 0.625

Nope, that wasn't it.

The upshot of all my research is: I have no idea what the question is trying to say,

therefore no clue of what the actual question is, and no direction toward an answer.