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)
-((1/2)*x)-1/3 = x-(5/6) // - x-(5/6)
5/6-((1/2)*x)-x-1/3 = 0
(-1/2)*x-x-1/3+5/6 = 0
1/2-3/2*x = 0 // - 1/2
-3/2*x = -1/2 // : -3/2
x = -1/2/(-3/2)
x = 1/3
x = 1/3
| 3x-3/4=-1/3x-7/36 | | 4x+8=6x+17/2 | | -1/2x+1/10=-59/10+7x | | -5/6x-4=5/7x-121/14 | | 5/6x+8=4x+340/33 | | 2/3+4x=5/7x+152/21 | | 7x-2/9=127/36+2x | | 1/3x+1=6x+35 | | 3/5+1/3x=2x+34/15 | | -7x+9=-4/7x+351/49 | | 8-1/2x=1/2x+3 | | 3/5x+5/8=293/200+2x | | x-5=-55/12-2/3x | | 2/7x-4/9=-5x+3635/63 | | x+1/6=2x+13/6 | | 2/3x-7/10=5/7x-1403/1890 | | 3x+5=-x+41 | | 1-1/2x=3/7x+95/56 | | x-1/2=-7x+15/2 | | 1/7x-9/10=3x-2493/770 | | 4/5x+2=3x-1/5 | | -5/8-x=4x-45/8 | | -6/7+2/5x=1/7x-27/35 | | 6x-3=-58+x | | -7+3x=1/2x-51/8 | | -5/6x+8/9=6/7x-2231/126 | | 7+4x=7x+61/10 | | 5/6+2/3x=1/5x+34/45 | | 3x-1=x+0 | | x-1/5=3x+7/15 | | 4+3x=-1/2x-3 | | -9+6x=5/7x-248/7 |