1-2(m-5)=3+6(m+4)

Solution for 1-2(m-5)=3+6(m+4) equation:

Simplifying
1 + -2(m + -5) = 3 + 6(m + 4)

Reorder the terms:
1 + -2(-5 + m) = 3 + 6(m + 4)
1 + (-5 * -2 + m * -2) = 3 + 6(m + 4)
1 + (10 + -2m) = 3 + 6(m + 4)

Combine like terms: 1 + 10 = 11
11 + -2m = 3 + 6(m + 4)

Reorder the terms:
11 + -2m = 3 + 6(4 + m)
11 + -2m = 3 + (4 * 6 + m * 6)
11 + -2m = 3 + (24 + 6m)

Combine like terms: 3 + 24 = 27
11 + -2m = 27 + 6m

Solving
11 + -2m = 27 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
11 + -2m + -6m = 27 + 6m + -6m

Combine like terms: -2m + -6m = -8m
11 + -8m = 27 + 6m + -6m

Combine like terms: 6m + -6m = 0
11 + -8m = 27 + 0
11 + -8m = 27

Add '-11' to each side of the equation.
11 + -11 + -8m = 27 + -11

Combine like terms: 11 + -11 = 0
0 + -8m = 27 + -11
-8m = 27 + -11

Combine like terms: 27 + -11 = 16
-8m = 16

Divide each side by '-8'.
m = -2

Simplifying
m = -2