3(m+2)-5(m-2)=4(m+4)

Solution for 3(m+2)-5(m-2)=4(m+4) equation:

Simplifying
3(m + 2) + -5(m + -2) = 4(m + 4)

Reorder the terms:
3(2 + m) + -5(m + -2) = 4(m + 4)
(2 * 3 + m * 3) + -5(m + -2) = 4(m + 4)
(6 + 3m) + -5(m + -2) = 4(m + 4)

Reorder the terms:
6 + 3m + -5(-2 + m) = 4(m + 4)
6 + 3m + (-2 * -5 + m * -5) = 4(m + 4)
6 + 3m + (10 + -5m) = 4(m + 4)

Reorder the terms:
6 + 10 + 3m + -5m = 4(m + 4)

Combine like terms: 6 + 10 = 16
16 + 3m + -5m = 4(m + 4)

Combine like terms: 3m + -5m = -2m
16 + -2m = 4(m + 4)

Reorder the terms:
16 + -2m = 4(4 + m)
16 + -2m = (4 * 4 + m * 4)
16 + -2m = (16 + 4m)

Add '-16' to each side of the equation.
16 + -16 + -2m = 16 + -16 + 4m

Combine like terms: 16 + -16 = 0
0 + -2m = 16 + -16 + 4m
-2m = 16 + -16 + 4m

Combine like terms: 16 + -16 = 0
-2m = 0 + 4m
-2m = 4m

Solving
-2m = 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.
-2m + -4m = 4m + -4m

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

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

Divide each side by '-6'.
m = 0

Simplifying
m = 0