To add and subtract fractions they must have a common denominator. The common denominator for #2, 3# and #6# is #6#, therefore #x/2# is multiplied by #3/3# (any number over itself = #1#, so you are not changing the value of the fraction by multiplying it by #1#) and #x/3# is multiplied by #2/2#, resulting in #(3x)/6 + (2x)/6#, which equals #(5x)/6#. Now we move all of the fractions to one side of the equation and the whole numbers to the other:
#(5x)/6 - x/6 - 1 + 1 = x/6 - x/6 + 1 + 3#
#= (4x)/6 = 4#
#6 * 4 = 4x#, therefore, #x = 6#