2(x+1)3x=x

Solution for 2(x+1)3x=x equation:

2(x+1)3x=x

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

6x^2-1x+6x=0

We add all the numbers together, and all the variables

6x^2+5x=0

a = 6; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·6·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*6}=\frac{-10}{12}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*6}=\frac{0}{12}
=0
$