If it's not what You are looking for type in the equation solver your own equation and let us solve it.
x in (-oo:+oo)
(2/3)*x-8/9 = (-4/7)*x-(86/9) // - (-4/7)*x-(86/9)
(2/3)*x-((-4/7)*x)-8/9+86/9 = 0
(2/3)*x+(4/7)*x-8/9+86/9 = 0
26/21*x+26/3 = 0 // - 26/3
26/21*x = -26/3 // : 26/21
x = -26/3/26/21
x = -7
x = -7
| 1/2x+6=-33/2+5x | | -6-2/7x=-x-2/7 | | 6+2/7x=-5x-69/7 | | 6x+2/3=5x+4/9 | | 2/3x-6=4x+22/3 | | 8-2/3x=7x+42/11 | | 3x+7=25/3+7x | | x-7/9=-43/9+3x | | 6x-3=2x-1/3 | | -2/5x+9=773/90+5/6x | | -1/3x+2=77/6+3/4x | | 4x-1=17-2x | | 3/7x+1/2=-5x+463/14 | | 4x-1=-x+39 | | -x+1=-31/2+5/6x | | -1+x=3x-13 | | 5x+1=-1/4x+85/22 | | -2/3x+1=x-4 | | 3/8+5/7x=-1/2x+89/56 | | -6/7x+3/4=5x-963/28 | | -7x+6/7=x+198/35 | | 5x+1=-92/27-2/3x | | 2/3x+8/9=73/99+1/3x | | 3/7+4x=5x+38/7 | | 3-x=2x+3/10 | | 1-5x=3/5x+33/5 | | 6/7+6x=-5x-65/14 | | 6x+1=-4x+101 | | 5/6+2/3x=3x+23/36 | | -5x-1=6x-16/5 | | 6/7x+2/5=-1146/35+5x | | 10+3x=-1/5x+58/5 |