`a)`
`1/2 - 2/3x = 7/12`
`⇒ 2/3x = 1/2 - 7/12 = -1/12`
`⇒ x = -1/12 : 2/3 = -1/8`
`b)`
`3/8 - 1/6x = 1/4`
`⇒ 1/6x = 3/8 - 1/4 = 1/8`
`⇒ x = 1/8 : 1/6 = 3/4`
`c)`
`1/3 + 2/3 : x = -7`
`⇒ 2/3 : x = -7 - 1/3 = -22/3`
`⇒ x = 2/3 : (-22)/3 = -1/11`
`d)`
`4/7x - 3/4 = (-5)/6`
`⇒ 4/7x = (-5)/6 + 3/4 = -1/12`
`⇒ x = -1/12 : 4/7 = -7/48`
`f)`
`5/12 + (-7)/12 : x = (-3)/10`
`⇒ (-7)/12 : x = (-3)/10 - 5/12 = -43/60`
`⇒ x = (-7)/12 : (-43)/60 = -35/43`
`e)`
`1/2x + 1/2 = 5/2`
`⇒ 1/2x = 5/2 - 1/2 = 2`
`⇒ x = 2 : 1/2 = 4`
`g)`
`x/5 + 1/2 = 6/10`
`⇒ x/5 = 6/10 - 1/2 = 1/10`
`⇒ (2x)/10 = 1/10`
`⇒ 2x = 1`
`⇒ x = 1/2`