x+8(6x-5)2x-3=180

Solution for x+8(6x-5)2x-3=180 equation:

x+8(6x-5)2x-3=180

We move all terms to the left:

x+8(6x-5)2x-3-(180)=0

We add all the numbers together, and all the variables

x+8(6x-5)2x-183=0

We multiply parentheses

96x^2+x-80x-183=0

We add all the numbers together, and all the variables

96x^2-79x-183=0

a = 96; b = -79; c = -183;
Δ = b2-4ac
Δ = -792-4·96·(-183)
Δ = 76513
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-\sqrt{76513}}{2*96}=\frac{79-\sqrt{76513}}{192}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+\sqrt{76513}}{2*96}=\frac{79+\sqrt{76513}}{192}
$