4(m+2)-8m-5=3m+9+2(m+6)

Solution for 4(m+2)-8m-5=3m+9+2(m+6) equation:

Simplifying
4(m + 2) + -8m + -5 = 3m + 9 + 2(m + 6)

Reorder the terms:
4(2 + m) + -8m + -5 = 3m + 9 + 2(m + 6)
(2 * 4 + m * 4) + -8m + -5 = 3m + 9 + 2(m + 6)
(8 + 4m) + -8m + -5 = 3m + 9 + 2(m + 6)

Reorder the terms:
8 + -5 + 4m + -8m = 3m + 9 + 2(m + 6)

Combine like terms: 8 + -5 = 3
3 + 4m + -8m = 3m + 9 + 2(m + 6)

Combine like terms: 4m + -8m = -4m
3 + -4m = 3m + 9 + 2(m + 6)

Reorder the terms:
3 + -4m = 3m + 9 + 2(6 + m)
3 + -4m = 3m + 9 + (6 * 2 + m * 2)
3 + -4m = 3m + 9 + (12 + 2m)

Reorder the terms:
3 + -4m = 9 + 12 + 3m + 2m

Combine like terms: 9 + 12 = 21
3 + -4m = 21 + 3m + 2m

Combine like terms: 3m + 2m = 5m
3 + -4m = 21 + 5m

Solving
3 + -4m = 21 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
3 + -4m + -5m = 21 + 5m + -5m

Combine like terms: -4m + -5m = -9m
3 + -9m = 21 + 5m + -5m

Combine like terms: 5m + -5m = 0
3 + -9m = 21 + 0
3 + -9m = 21

Add '-3' to each side of the equation.
3 + -3 + -9m = 21 + -3

Combine like terms: 3 + -3 = 0
0 + -9m = 21 + -3
-9m = 21 + -3

Combine like terms: 21 + -3 = 18
-9m = 18

Divide each side by '-9'.
m = -2

Simplifying
m = -2