2(3m+7)=6+8m

Solution for 2(3m+7)=6+8m equation:

Simplifying
2(3m + 7) = 6 + 8m

Reorder the terms:
2(7 + 3m) = 6 + 8m
(7 * 2 + 3m * 2) = 6 + 8m
(14 + 6m) = 6 + 8m

Solving
14 + 6m = 6 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
14 + 6m + -8m = 6 + 8m + -8m

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

Combine like terms: 8m + -8m = 0
14 + -2m = 6 + 0
14 + -2m = 6

Add '-14' to each side of the equation.
14 + -14 + -2m = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -2m = 6 + -14
-2m = 6 + -14

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

Divide each side by '-2'.
m = 4

Simplifying
m = 4