5m-(5+3m)=(3+m)-12

Solution for 5m-(5+3m)=(3+m)-12 equation:

Simplifying
5m + -1(5 + 3m) = (3 + m) + -12
5m + (5 * -1 + 3m * -1) = (3 + m) + -12
5m + (-5 + -3m) = (3 + m) + -12

Reorder the terms:
-5 + 5m + -3m = (3 + m) + -12

Combine like terms: 5m + -3m = 2m
-5 + 2m = (3 + m) + -12

Remove parenthesis around (3 + m)
-5 + 2m = 3 + m + -12

Reorder the terms:
-5 + 2m = 3 + -12 + m

Combine like terms: 3 + -12 = -9
-5 + 2m = -9 + m

Solving
-5 + 2m = -9 + m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
-5 + 2m + -1m = -9 + m + -1m

Combine like terms: 2m + -1m = 1m
-5 + 1m = -9 + m + -1m

Combine like terms: m + -1m = 0
-5 + 1m = -9 + 0
-5 + 1m = -9

Add '5' to each side of the equation.
-5 + 5 + 1m = -9 + 5

Combine like terms: -5 + 5 = 0
0 + 1m = -9 + 5
1m = -9 + 5

Combine like terms: -9 + 5 = -4
1m = -4

Divide each side by '1'.
m = -4

Simplifying
m = -4