Answer :

Answer:

[tex]m = 6 \frac{1}{4} [/tex]

Step-by-step explanation:

2m + 13 = 6m - 12. Collect like terms

2m - 6m = -12 -13

-4m = -25 Divide both sides by -4

m = 25/4

[tex]m = 6 \frac{1}{4} [/tex]

m = 8 1/3


Our first step is to get “m” by its self so we gotta remove the 12. Since the 12 is a negative add 12 to it and since we need to treat both sides equally add 12 to the 13 as well

2m + 13 = 6m - 12
+12 +12

2m + 25 = 6m

Now we got to get rid of 2m so we can isolate the m values. Since there’s no other symbol we divide 2m by 2m and as before do the same on the other side.

2m + 25 = 6m
___ ___
2m 2m

25 = 3m

Now we divide the two remaining values

25 = 3m
______
3

8.333333333 = 8 1/3

8 1/3 = m

The whole equation

2m + 13 = 6m - 12
+12 +12

2m + 25 = 6m
___ ___
2m 2m

25 = 3m
______
3

8.333333333 = 8 1/3

8 1/3 = m