2 (8r+5) - 3=4 (4r-1) + 11 is it an only solution or a no solution or infinite solution

Infinitely many solutions.

Step-by-step explanation:

Let's begin by carrying out the indicated multiplications, which must be done before any addition or subtraction:

2 (8r+5) - 3=4 (4r-1) + 11 becomes 16r + 10 - 3 = 16r - 4 + 11.

Subtracting 16r from both sides, we get 10 - 3 = - 4 + 11, or 7 = 7

This is always true, so we can conclude that this equation has infinitely many solutions.