3(m-5)+5m-3(m+2)=-21

Solution for 3(m-5)+5m-3(m+2)=-21 equation:

Simplifying
3(m + -5) + 5m + -3(m + 2) = -21

Reorder the terms:
3(-5 + m) + 5m + -3(m + 2) = -21
(-5 * 3 + m * 3) + 5m + -3(m + 2) = -21
(-15 + 3m) + 5m + -3(m + 2) = -21

Reorder the terms:
-15 + 3m + 5m + -3(2 + m) = -21
-15 + 3m + 5m + (2 * -3 + m * -3) = -21
-15 + 3m + 5m + (-6 + -3m) = -21

Reorder the terms:
-15 + -6 + 3m + 5m + -3m = -21

Combine like terms: -15 + -6 = -21
-21 + 3m + 5m + -3m = -21

Combine like terms: 3m + 5m = 8m
-21 + 8m + -3m = -21

Combine like terms: 8m + -3m = 5m
-21 + 5m = -21

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

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

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

Solving
5m = 0

Solving for variable 'm'.

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

Divide each side by '5'.
m = 0

Simplifying
m = 0