∵     LCM of 4 and 3 is 12.

∴        Multiplying both sides by 12, we have

         

or         3(3t-2) - 4(2t+3) = (4 2) - 12t

or            9t - 6 - 8t - 12 = 8 - 12t

or         (9-8)t - (6+12) = 8 - 12t

or                       t-18 = 8 - 12t

Transposing -18 to RHS and -12t to LHS, we have

                       t +12t = 8 + 18

or                        13t = 26

or                                             (Dividing both sides by 2)

∴                              t = 2

Check:                  LHS =

                                 =
                               
                                  =
                                
                                  =
                                 
                                   =

                         RHS =
                              
                             =
                             
                             =
                    
 

∴                       LHS = RHS