14(m+3)=3(2m-2)

Solution for 14(m+3)=3(2m-2) equation:

Simplifying
14(m + 3) = 3(2m + -2)

Reorder the terms:
14(3 + m) = 3(2m + -2)
(3 * 14 + m * 14) = 3(2m + -2)
(42 + 14m) = 3(2m + -2)

Reorder the terms:
42 + 14m = 3(-2 + 2m)
42 + 14m = (-2 * 3 + 2m * 3)
42 + 14m = (-6 + 6m)

Solving
42 + 14m = -6 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
42 + 14m + -6m = -6 + 6m + -6m

Combine like terms: 14m + -6m = 8m
42 + 8m = -6 + 6m + -6m

Combine like terms: 6m + -6m = 0
42 + 8m = -6 + 0
42 + 8m = -6

Add '-42' to each side of the equation.
42 + -42 + 8m = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 8m = -6 + -42
8m = -6 + -42

Combine like terms: -6 + -42 = -48
8m = -48

Divide each side by '8'.
m = -6

Simplifying
m = -6