3(2x-1)6x-1=5x

Solution for 3(2x-1)6x-1=5x equation:

3(2x-1)6x-1=5x

We move all terms to the left:

3(2x-1)6x-1-(5x)=0

We add all the numbers together, and all the variables

-5x+3(2x-1)6x-1=0

We multiply parentheses

36x^2-5x-18x-1=0

We add all the numbers together, and all the variables

36x^2-23x-1=0

a = 36; b = -23; c = -1;
Δ = b2-4ac
Δ = -232-4·36·(-1)
Δ = 673
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{-(-23)-\sqrt{673}}{2*36}=\frac{23-\sqrt{673}}{72}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-23)+\sqrt{673}}{2*36}=\frac{23+\sqrt{673}}{72}
$