If it's not what You are looking for type in the equation solver your own equation and let us solve it.
z in (-oo:+oo)
(1/6)*(z-(1/5)) = (4/5)*(z-(2/3)) // - (4/5)*(z-(2/3))
(1/6)*(z-(1/5))-((4/5)*(z-(2/3))) = 0
(1/6)*(z-1/5)+(-4/5)*(z-2/3) = 0
1/6*(z-1/5)-4/5*(z-2/3) = 0
1/6*(z-1/5)-4/5*(z-2/3) = 0
1/2-19/30*z = 0
1/2-19/30*z = 0
1/2-19/30*z = 0 // - 1/2
-19/30*z = -1/2 // : -19/30
z = -1/2/(-19/30)
z = 15/19
z = 15/19
| -5(x+4)=-70 | | y^2-x^2=r^2 | | x^-6/x^7 | | 0.125(6+z)=2.5 | | -5+3m=-5 | | 240.00+0.15m=342.00 | | 17j-16j-1=14 | | 4t-7v=11 | | 0.18(y-2)+0.10y=0.08y-0.7 | | 3(4x+2)-14=2(3-4x) | | 5x+2=15x-82 | | 2x-x+8+5x-7= | | 14x+21=7 | | 0.125(6+2)=2.50 | | 2+7x=21 | | -2b+3=7 | | 5-y/3=-2 | | 10t+4v=13 | | 3x^2-5z-2=0 | | 2y+4=(-16x/5)+6-2y | | c=x+b | | 4x+9-3x=15 | | 4-3n=31 | | 7x-65=2 | | 8x+5=10x-2 | | -0.75q-2.75p=1.5 | | x-18=y | | 159-7x=29x+23 | | -x+53=.5x+39 | | -x^2+16=9X-6 | | 20=2(j-10) | | 6x+61=11x-11 |