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

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

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

Reorder the terms:
2(8 + m) = 3(m + -6)
(8 * 2 + m * 2) = 3(m + -6)
(16 + 2m) = 3(m + -6)

Reorder the terms:
16 + 2m = 3(-6 + m)
16 + 2m = (-6 * 3 + m * 3)
16 + 2m = (-18 + 3m)

Solving
16 + 2m = -18 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
16 + 2m + -3m = -18 + 3m + -3m

Combine like terms: 2m + -3m = -1m
16 + -1m = -18 + 3m + -3m

Combine like terms: 3m + -3m = 0
16 + -1m = -18 + 0
16 + -1m = -18

Add '-16' to each side of the equation.
16 + -16 + -1m = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -1m = -18 + -16
-1m = -18 + -16

Combine like terms: -18 + -16 = -34
-1m = -34

Divide each side by '-1'.
m = 34

Simplifying
m = 34