0.12 - 0.34x = 0.56 can be simplified by multiplying both sides by 100
12 - 34x = 56
now does that look easier?
Now subtract 12 from both sides
-34x = 44
x = -44/34
x = -22/17
Obviously we could have solved it using the original values, but this method can reduces the chance of error.
Now, to double check it;
0.12 - 0.34(-22/17) =? 0.56
-0.34(-22/17) =? 0.44
(34/100)(22/17) =? 0.44
(44/100) = 0.44
Yes, it checks
12 - 34x = 56
now does that look easier?
Now subtract 12 from both sides
-34x = 44
x = -44/34
x = -22/17
Obviously we could have solved it using the original values, but this method can reduces the chance of error.
Now, to double check it;
0.12 - 0.34(-22/17) =? 0.56
-0.34(-22/17) =? 0.44
(34/100)(22/17) =? 0.44
(44/100) = 0.44
Yes, it checks