2(m+3)-4(m+6)=7

Solution for 2(m+3)-4(m+6)=7 equation:

Simplifying
2(m + 3) + -4(m + 6) = 7

Reorder the terms:
2(3 + m) + -4(m + 6) = 7
(3 * 2 + m * 2) + -4(m + 6) = 7
(6 + 2m) + -4(m + 6) = 7

Reorder the terms:
6 + 2m + -4(6 + m) = 7
6 + 2m + (6 * -4 + m * -4) = 7
6 + 2m + (-24 + -4m) = 7

Reorder the terms:
6 + -24 + 2m + -4m = 7

Combine like terms: 6 + -24 = -18
-18 + 2m + -4m = 7

Combine like terms: 2m + -4m = -2m
-18 + -2m = 7

Solving
-18 + -2m = 7

Solving for variable 'm'.

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

Add '18' to each side of the equation.
-18 + 18 + -2m = 7 + 18

Combine like terms: -18 + 18 = 0
0 + -2m = 7 + 18
-2m = 7 + 18

Combine like terms: 7 + 18 = 25
-2m = 25

Divide each side by '-2'.
m = -12.5

Simplifying
m = -12.5