3(m-4)-5m+18=2(m+3)

Solution for 3(m-4)-5m+18=2(m+3) equation:

Simplifying
3(m + -4) + -5m + 18 = 2(m + 3)

Reorder the terms:
3(-4 + m) + -5m + 18 = 2(m + 3)
(-4 * 3 + m * 3) + -5m + 18 = 2(m + 3)
(-12 + 3m) + -5m + 18 = 2(m + 3)

Reorder the terms:
-12 + 18 + 3m + -5m = 2(m + 3)

Combine like terms: -12 + 18 = 6
6 + 3m + -5m = 2(m + 3)

Combine like terms: 3m + -5m = -2m
6 + -2m = 2(m + 3)

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

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

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

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

Solving
-2m = 2m

Solving for variable 'm'.

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

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

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

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

Divide each side by '-4'.
m = 0

Simplifying
m = 0