Let's first expand the left side of the equation:

$2x+3$$3x+1$ - 10
= 2x 3x + 2x 1 + 3 3x + 3 1 - 10
= 6x^2 + 2x + 9x + 3 - 10
= 6x^2 + 11x - 7

Now, let's compare this to the right side of the equation:

11x + 20

Since the two sides are equal, we can set them equal to each other:

6x^2 + 11x - 7 = 11x + 20

Now, let's simplify the equation further:

6x^2 + 11x - 7 - 11x - 20 = 0
6x^2 - 27 = 0

Now, we can solve for x by factoring or using the quadratic formula:

6x^2 - 27 = 0
6x^2 = 27
x^2 = 27/6
x^2 = 4.5
x = ±√4.5
x = ±2.121

Therefore, the solutions are x = 2.121 or x = -2.121.