3(m+2)-2(m-4)=10

Solution for 3(m+2)-2(m-4)=10 equation:

Simplifying
3(m + 2) + -2(m + -4) = 10

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

Reorder the terms:
6 + 3m + -2(-4 + m) = 10
6 + 3m + (-4 * -2 + m * -2) = 10
6 + 3m + (8 + -2m) = 10

Reorder the terms:
6 + 8 + 3m + -2m = 10

Combine like terms: 6 + 8 = 14
14 + 3m + -2m = 10

Combine like terms: 3m + -2m = 1m
14 + 1m = 10

Solving
14 + 1m = 10

Solving for variable 'm'.

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

Add '-14' to each side of the equation.
14 + -14 + 1m = 10 + -14

Combine like terms: 14 + -14 = 0
0 + 1m = 10 + -14
1m = 10 + -14

Combine like terms: 10 + -14 = -4
1m = -4

Divide each side by '1'.
m = -4

Simplifying
m = -4