Question

7 -14m = 2m - 5 multi step variables on both sides

Answer 1

m = 3/4

Explanation:

7 - 14m = 2m - 5 (given)

7 + 5 - 14m = 2m - 5 + 5 (addition poe)

*add 5 to both sides to cancel -5 out*

12 - 14m = 2m

12 - 14m + 14m = 2m + 14m (addition poe)

*add 14m to both sides to cancel -14m* out*

12 = 16m

12/16 = 16m/16 (division poe)

*divide by 16 on both sides to cancel out the coefficient*

12/16 = m

m = 12/16 (symmetric property)

*mirror to the other side*

m = 12÷4/16÷4 (division poe)

*divide the numerator and denominator by its greatest common factor*

m = 3/4

Answer 2

7 - 14m = 2m - 5

+14m +14m (add 14 on both sides)

_____________

7 = 16m - 5

+5 + 5 (add 5 on both sides)

_____________

12 = 16m

__ ___ (divide 16 on both sides)

16 16

m = 0.75