3(m+2)-4(2m-9)=

Solution for 3(m+2)-4(2m-9)= equation:

Simplifying
3(m + 2) + -4(2m + -9) = 0

Reorder the terms:
3(2 + m) + -4(2m + -9) = 0
(2 * 3 + m * 3) + -4(2m + -9) = 0
(6 + 3m) + -4(2m + -9) = 0

Reorder the terms:
6 + 3m + -4(-9 + 2m) = 0
6 + 3m + (-9 * -4 + 2m * -4) = 0
6 + 3m + (36 + -8m) = 0

Reorder the terms:
6 + 36 + 3m + -8m = 0

Combine like terms: 6 + 36 = 42
42 + 3m + -8m = 0

Combine like terms: 3m + -8m = -5m
42 + -5m = 0

Solving
42 + -5m = 0

Solving for variable 'm'.

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

Add '-42' to each side of the equation.
42 + -42 + -5m = 0 + -42

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

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

Divide each side by '-5'.
m = 8.4

Simplifying
m = 8.4