If it's not what You are looking for type in the equation solver your own equation and let us solve it.
D( x )
x+4 = 0
x-2 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:-4) U (-4:2) U (2:+oo)
1/(x-2)+1/(x+4) = 8/7 // - 8/7
1/(x-2)+1/(x+4)-(8/7) = 0
1/(x-2)+1/(x+4)-8/7 = 0
(1*7*(x+4))/(7*(x-2)*(x+4))+(1*7*(x-2))/(7*(x-2)*(x+4))+(-8*(x-2)*(x+4))/(7*(x-2)*(x+4)) = 0
1*7*(x+4)+1*7*(x-2)-8*(x-2)*(x+4) = 0
14*x-8*x^2-16*x+14+64 = 0
78-8*x^2-2*x = 0
78-8*x^2-2*x = 0
2*(39-4*x^2-x) = 0
39-4*x^2-x = 0
DELTA = (-1)^2-(-4*4*39)
DELTA = 625
DELTA > 0
x = (625^(1/2)+1)/(-4*2) or x = (1-625^(1/2))/(-4*2)
x = -13/4 or x = 3
2*(x+13/4)*(x-3) = 0
(2*(x+13/4)*(x-3))/(7*(x-2)*(x+4)) = 0
(2*(x+13/4)*(x-3))/(7*(x-2)*(x+4)) = 0 // * 7*(x-2)*(x+4)
2*(x+13/4)*(x-3) = 0
( x+13/4 )
x+13/4 = 0 // - 13/4
x = -13/4
( x-3 )
x-3 = 0 // + 3
x = 3
x in { -13/4, 3 }
| 1/4x-1/5x-5x=-6/5 | | 1/4x-1/5x-5x=6/5 | | 5b-3-10b-5= | | 6x^3-4x^2-72x=2x^2 | | y=1/6+7 | | 3x+9-7x=-16+10-x | | -3x+10=2x+8 | | 7-3x-5-7x=4 | | (x/x-3)=(x+3/x-1) | | ((x/6)+8)=(x/6) | | -x-9=0 | | ((x/6)+8)=x/6 | | 5y-15y+4=y | | 6x+28+x=-2x+55 | | 20y-21y=70 | | -3(2m+6)+6=-3(m+4) | | 2x+10=1+10x | | -6x+10+13x=22+4x | | 7x^2-42x-280=0 | | a+b+b+b-80+90=100 | | 6x+3-9x=9-(3x+6) | | 4(2x+4)=13x+14-5x+2 | | 50x/89=7 | | (2/3)((x/4)-1)=(3/4)x-(1/2) | | 7y+4=-11 | | 5/9-1/3x1/6 | | 2x-4=2(x+9) | | 5/9-1/3*1/6 | | 6x^2y-12xy^2+18xy=0 | | 6x^2-12xy^2+18xy=0 | | (x^2+5x-1)-(7x^2+2)= | | 5x+8+10x-2=180 |