14-(2m+8)=2+2m-16

Solution for 14-(2m+8)=2+2m-16 equation:

Simplifying
14 + -1(2m + 8) = 2 + 2m + -16

Reorder the terms:
14 + -1(8 + 2m) = 2 + 2m + -16
14 + (8 * -1 + 2m * -1) = 2 + 2m + -16
14 + (-8 + -2m) = 2 + 2m + -16

Combine like terms: 14 + -8 = 6
6 + -2m = 2 + 2m + -16

Reorder the terms:
6 + -2m = 2 + -16 + 2m

Combine like terms: 2 + -16 = -14
6 + -2m = -14 + 2m

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

Combine like terms: -2m + -2m = -4m
6 + -4m = -14 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -4m = -14 + 0
6 + -4m = -14

Add '-6' to each side of the equation.
6 + -6 + -4m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -4m = -14 + -6
-4m = -14 + -6

Combine like terms: -14 + -6 = -20
-4m = -20

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

Simplifying
m = 5