(х-3) / 2 = (1-4х) / 5
5*(х-3) = 2*(1-4х)
5х-15 = 2-8х
5х+8х=2+15
13х=17
х=17/13
х=1  4/13

проверим
(17/13 - 3) /2 = (1-4*17/13) / 5
-22/13 : 2 = -55/13 : 5
-11/13 = -11/13