If it's not what You are looking for type in the equation solver your own equation and let us solve it.
2(x-6)=8+2/3x
We move all terms to the left:
2(x-6)-(8+2/3x)=0
Domain of the equation: 3x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
2(x-6)-(2/3x+8)=0
We multiply parentheses
2x-(2/3x+8)-12=0
We get rid of parentheses
2x-2/3x-8-12=0
We multiply all the terms by the denominator
2x*3x-8*3x-12*3x-2=0
Wy multiply elements
6x^2-24x-36x-2=0
We add all the numbers together, and all the variables
6x^2-60x-2=0
a = 6; b = -60; c = -2;
Δ = b2-4ac
Δ = -602-4·6·(-2)
Δ = 3648
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{3648}=\sqrt{64*57}=\sqrt{64}*\sqrt{57}=8\sqrt{57}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-8\sqrt{57}}{2*6}=\frac{60-8\sqrt{57}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+8\sqrt{57}}{2*6}=\frac{60+8\sqrt{57}}{12} $
| 2}{11}x=40+2x | | {2}{11}x=40+2x | | 2(y+3)-7=4y+5 | | -2(3x-5)=4(5x-1)+8 | | -21-8a=-1+6(3-5a) | | b+4=4b+13 | | 55x=450 | | 6(x+5)-9=23-5x-2+11x | | 5x^2-x^2=2x^2+72 | | -9g-40=-19g | | 1/y-1/(5y)+1/(y+1)=5/(2y) | | -3+8(x-2)=15x+3-7x | | 125x+74=10.4 | | 5x-12x+15=9x+11 | | -3(x-2)=3-2x+7 | | 36+6x-3x=4x+3 | | 8d+3d-3d-8=4d | | -30p+-12p=0 | | 20=n/9+1 | | 5b^2+25b-5=0 | | 5b+25b-5=0 | | 9-6x+x^2=x^2-7x+12 | | 18h=12h+35 | | 9-6x+x2=x2-7x+12 | | 75=500(0.05t) | | 250+350=m-14+m | | 10=-4(3x+3)+13 | | x=21/13 | | 8s-1=9s+2 | | 2h-1=0 | | 7x+10-4x+19=90 | | 7x+12(1)=5 |