x-(9-10)+11=12x+3(-2x+1/3)

Solution for x-(9-10)+11=12x+3(-2x+1/3) equation:

x-(9-10)+11=12x+3(-2x+1/3)

We move all terms to the left:

x-(9-10)+11-(12x+3(-2x+1/3))=0

We add all the numbers together, and all the variables

x-(12x+3(-2x+1/3))+11-(-1)=0

We add all the numbers together, and all the variables

x-(12x+3(-2x+1/3))+12=0

We multiply all the terms by the denominator


x*3))-(12x+3(-2x+1+12*3))=0

We add all the numbers together, and all the variables

x*3))-(12x+3(-2x+37))=0

We add all the numbers together, and all the variables

-2x+x*3))-(12x+3(=0

Wy multiply elements

3x^2-2x=0

a = 3; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·3·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*3}=\frac{0}{6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*3}=\frac{4}{6}
=2/3
$