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)
(4*x)/3-((2*x+3)/6) = 9/2 // - 9/2
(4*x)/3-((2*x+3)/6)-(9/2) = 0
(4*x)/3-((2*x+3)/6)-9/2 = 0
(-1*(2*x+3))/6+(4*x)/3-9/2 = 0
(-1*2*3*(2*x+3))/(2*3*6)+(2*4*6*x)/(2*3*6)+(-9*3*6)/(2*3*6) = 0
2*4*6*x-1*2*3*(2*x+3)-9*3*6 = 0
36*x-162-18 = 0
36*x-180 = 0
(36*x-180)/(2*3*6) = 0
(36*x-180)/(2*3*6) = 0 // * 2*3*6
36*x-180 = 0
36*x-180 = 0 // + 180
36*x = 180 // : 36
x = 180/36
x = 5
x = 5
| -1+2/5n+2/5n=-23/55 | | -5/8-5/7a+2a=25/56 | | 8+5a-7a=100/11 | | -26/5=3k+4/5k-9 | | 7+4/5m+1/2m=153/20 | | -40=2(4-3s) | | 3n+1/3+4n=53/12 | | -52/5=-3t+t-10 | | x+7/9-3/5x=191/315 | | k-3/5+1/3k=-29/15 | | 2b+5+2b=29 | | 9/10+b+2b=-81/10 | | 3(9-2x-9)+4(7x+6)=26 | | 5/7=-a+6/7a+6/7 | | 3/8+4a-1/2a=-277/8 | | 7+2/7a+1/3a=722/105 | | 2x-1+2/3x=-23/15 | | 17=3d-7d+5 | | 20=7w+4w+9 | | -1/5n-3/7-3n=-139/63 | | 1/3+1/2=5 | | 5x+5/12-4x-1/3=11/12 | | 15/28=k+1/4k-5/7 | | 10+6/7x+4/5x=2566/245 | | -3/7+2k+5k=-52/7 | | 1/5+1/3a-7a=-1097/15 | | 1/3+4t+6t=23/9 | | 1/2+m-3m=-43/2 | | -6.8x=5.304 | | -5x+2+2/3x=-7/3 | | -59/12=6a+1/5a+1/4 | | -4/5w-5+3w=-64/15 |