3(2m+7)=-5(6+m)

Solution for 3(2m+7)=-5(6+m) equation:

Simplifying
3(2m + 7) = -5(6 + m)

Reorder the terms:
3(7 + 2m) = -5(6 + m)
(7 * 3 + 2m * 3) = -5(6 + m)
(21 + 6m) = -5(6 + m)
21 + 6m = (6 * -5 + m * -5)
21 + 6m = (-30 + -5m)

Solving
21 + 6m = -30 + -5m

Solving for variable 'm'.

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

Add '5m' to each side of the equation.
21 + 6m + 5m = -30 + -5m + 5m

Combine like terms: 6m + 5m = 11m
21 + 11m = -30 + -5m + 5m

Combine like terms: -5m + 5m = 0
21 + 11m = -30 + 0
21 + 11m = -30

Add '-21' to each side of the equation.
21 + -21 + 11m = -30 + -21

Combine like terms: 21 + -21 = 0
0 + 11m = -30 + -21
11m = -30 + -21

Combine like terms: -30 + -21 = -51
11m = -51

Divide each side by '11'.
m = -4.636363636

Simplifying
m = -4.636363636