5m-37=-6-3(5-7m)

Solution for 5m-37=-6-3(5-7m) equation:

Simplifying
5m + -37 = -6 + -3(5 + -7m)

Reorder the terms:
-37 + 5m = -6 + -3(5 + -7m)
-37 + 5m = -6 + (5 * -3 + -7m * -3)
-37 + 5m = -6 + (-15 + 21m)

Combine like terms: -6 + -15 = -21
-37 + 5m = -21 + 21m

Solving
-37 + 5m = -21 + 21m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-21m' to each side of the equation.
-37 + 5m + -21m = -21 + 21m + -21m

Combine like terms: 5m + -21m = -16m
-37 + -16m = -21 + 21m + -21m

Combine like terms: 21m + -21m = 0
-37 + -16m = -21 + 0
-37 + -16m = -21

Add '37' to each side of the equation.
-37 + 37 + -16m = -21 + 37

Combine like terms: -37 + 37 = 0
0 + -16m = -21 + 37
-16m = -21 + 37

Combine like terms: -21 + 37 = 16
-16m = 16

Divide each side by '-16'.
m = -1

Simplifying
m = -1