13-(2m+7)=5+3m-19

Solution for 13-(2m+7)=5+3m-19 equation:

Simplifying
13 + -1(2m + 7) = 5 + 3m + -19

Reorder the terms:
13 + -1(7 + 2m) = 5 + 3m + -19
13 + (7 * -1 + 2m * -1) = 5 + 3m + -19
13 + (-7 + -2m) = 5 + 3m + -19

Combine like terms: 13 + -7 = 6
6 + -2m = 5 + 3m + -19

Reorder the terms:
6 + -2m = 5 + -19 + 3m

Combine like terms: 5 + -19 = -14
6 + -2m = -14 + 3m

Solving
6 + -2m = -14 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
6 + -2m + -3m = -14 + 3m + -3m

Combine like terms: -2m + -3m = -5m
6 + -5m = -14 + 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -5m = -14 + 0
6 + -5m = -14

Add '-6' to each side of the equation.
6 + -6 + -5m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = -14 + -6
-5m = -14 + -6

Combine like terms: -14 + -6 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4