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

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

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

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

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

Solving
-21 + 3m = -6 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-21 + 3m + 2m = -6 + -2m + 2m

Combine like terms: 3m + 2m = 5m
-21 + 5m = -6 + -2m + 2m

Combine like terms: -2m + 2m = 0
-21 + 5m = -6 + 0
-21 + 5m = -6

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

Combine like terms: -21 + 21 = 0
0 + 5m = -6 + 21
5m = -6 + 21

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

Divide each side by '5'.
m = 3

Simplifying
m = 3