-8x-8+3(x-2)3x=-2

Solution for -8x-8+3(x-2)3x=-2 equation:

-8x-8+3(x-2)3x=-2

We move all terms to the left:

-8x-8+3(x-2)3x-(-2)=0

We add all the numbers together, and all the variables

-8x+3(x-2)3x-6=0

We multiply parentheses

9x^2-8x-18x-6=0

We add all the numbers together, and all the variables

9x^2-26x-6=0

a = 9; b = -26; c = -6;
Δ = b2-4ac
Δ = -262-4·9·(-6)
Δ = 892
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{892}=\sqrt{4*223}=\sqrt{4}*\sqrt{223}=2\sqrt{223}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-2\sqrt{223}}{2*9}=\frac{26-2\sqrt{223}}{18}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+2\sqrt{223}}{2*9}=\frac{26+2\sqrt{223}}{18}
$