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

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

Simplifying
2(6 + m) = 7(m + 6)
(6 * 2 + m * 2) = 7(m + 6)
(12 + 2m) = 7(m + 6)

Reorder the terms:
12 + 2m = 7(6 + m)
12 + 2m = (6 * 7 + m * 7)
12 + 2m = (42 + 7m)

Solving
12 + 2m = 42 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
12 + 2m + -7m = 42 + 7m + -7m

Combine like terms: 2m + -7m = -5m
12 + -5m = 42 + 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -5m = 42 + 0
12 + -5m = 42

Add '-12' to each side of the equation.
12 + -12 + -5m = 42 + -12

Combine like terms: 12 + -12 = 0
0 + -5m = 42 + -12
-5m = 42 + -12

Combine like terms: 42 + -12 = 30
-5m = 30

Divide each side by '-5'.
m = -6

Simplifying
m = -6