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

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

Simplifying
6 + -1(4m) = 8m + -2(3m + 5)

Remove parenthesis around (4m)
6 + -1 * 4m = 8m + -2(3m + 5)

Multiply -1 * 4
6 + -4m = 8m + -2(3m + 5)

Reorder the terms:
6 + -4m = 8m + -2(5 + 3m)
6 + -4m = 8m + (5 * -2 + 3m * -2)
6 + -4m = 8m + (-10 + -6m)

Reorder the terms:
6 + -4m = -10 + 8m + -6m

Combine like terms: 8m + -6m = 2m
6 + -4m = -10 + 2m

Solving
6 + -4m = -10 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
6 + -4m + -2m = -10 + 2m + -2m

Combine like terms: -4m + -2m = -6m
6 + -6m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -6m = -10 + 0
6 + -6m = -10

Add '-6' to each side of the equation.
6 + -6 + -6m = -10 + -6

Combine like terms: 6 + -6 = 0
0 + -6m = -10 + -6
-6m = -10 + -6

Combine like terms: -10 + -6 = -16
-6m = -16

Divide each side by '-6'.
m = 2.666666667

Simplifying
m = 2.666666667