#### notes

**For example :** `(6x + 1)/ 3 + 1 = (x - 3)/6`**Solution :** Multiplying both sides of the equation by 6,

`(6(6x + 1))/3 + 6 xx 1 = (6(x - 3))/6`

or 2 (6x + 1) + 6 = x – 3

or 12x + 2 + 6 = x – 3 (opening the brackets )

or 12x + 8 = x – 3

or 12x – x + 8 = – 3

or 11x + 8 = – 3

or 11x = –3 – 8

or 11x = –11

or x = – 1

Check: LHS

= `(6(-1) + 1) / 3 +1 = (-6+1)/3 + 1 = -5/3 + 3/3 = (-5+3)/3 = -2/3`

RHS = `((-1)-3) /6 = -4 / 6 = -2/3`

LHS = RHS. (as required)