Solve and check 0.5 plus 4m equals 3m minus 2.5?

Answer 1

0.5 + 4m = 3m - 2.5 (subtract 0.5 and 3m to both sides)
0.5 - 0.5 + 4m - 3m = 3m - 3m -0.5 -2.5
m = -3

Check:

0.5 + 4m = 3m - 2.5 (substitute -3 for m)
0.5 + 4(-3) =? 3(-3) - 2.5
0.5 - 12 =? -9 -2.5
-11.5 = -11.5 True

Thus, for m = -3 the above equation is a true statement.