2m+6=2(2m+3)-2

Solution for 2m+6=2(2m+3)-2 equation:

Simplifying
2m + 6 = 2(2m + 3) + -2

Reorder the terms:
6 + 2m = 2(2m + 3) + -2

Reorder the terms:
6 + 2m = 2(3 + 2m) + -2
6 + 2m = (3 * 2 + 2m * 2) + -2
6 + 2m = (6 + 4m) + -2

Reorder the terms:
6 + 2m = 6 + -2 + 4m

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

Solving
6 + 2m = 4 + 4m

Solving for variable 'm'.

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

Add '-4m' to each side of the equation.
6 + 2m + -4m = 4 + 4m + -4m

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

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

Add '-6' to each side of the equation.
6 + -6 + -2m = 4 + -6

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

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

Divide each side by '-2'.
m = 1

Simplifying
m = 1