2(3+7m)-8m=4(m+2)

Solution for 2(3+7m)-8m=4(m+2) equation:

Simplifying
2(3 + 7m) + -8m = 4(m + 2)
(3 * 2 + 7m * 2) + -8m = 4(m + 2)
(6 + 14m) + -8m = 4(m + 2)

Combine like terms: 14m + -8m = 6m
6 + 6m = 4(m + 2)

Reorder the terms:
6 + 6m = 4(2 + m)
6 + 6m = (2 * 4 + m * 4)
6 + 6m = (8 + 4m)

Solving
6 + 6m = 8 + 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 + 6m + -4m = 8 + 4m + -4m

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

Combine like terms: 4m + -4m = 0
6 + 2m = 8 + 0
6 + 2m = 8

Add '-6' to each side of the equation.
6 + -6 + 2m = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 2m = 8 + -6
2m = 8 + -6

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

Divide each side by '2'.
m = 1

Simplifying
m = 1