2m+6=-(m-2)

Solution for 2m+6=-(m-2) equation:

Simplifying
2m + 6 = -1(m + -2)

Reorder the terms:
6 + 2m = -1(m + -2)

Reorder the terms:
6 + 2m = -1(-2 + m)
6 + 2m = (-2 * -1 + m * -1)
6 + 2m = (2 + -1m)

Solving
6 + 2m = 2 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
6 + 2m + m = 2 + -1m + m

Combine like terms: 2m + m = 3m
6 + 3m = 2 + -1m + m

Combine like terms: -1m + m = 0
6 + 3m = 2 + 0
6 + 3m = 2

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

Combine like terms: 6 + -6 = 0
0 + 3m = 2 + -6
3m = 2 + -6

Combine like terms: 2 + -6 = -4
3m = -4

Divide each side by '3'.
m = -1.333333333

Simplifying
m = -1.333333333