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

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

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

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

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

Reorder the terms:
6 + -2m = 3 + -13 + 2m

Combine like terms: 3 + -13 = -10
6 + -2m = -10 + 2m

Solving
6 + -2m = -10 + 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.
6 + -2m + -2m = -10 + 2m + -2m

Combine like terms: -2m + -2m = -4m
6 + -4m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -4m = -10 + 0
6 + -4m = -10

Add '-6' to each side of the equation.
6 + -6 + -4m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = -10 + -6
-4m = -10 + -6

Combine like terms: -10 + -6 = -16
-4m = -16

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

Simplifying
m = 4