3(m-4)+2(m+1)=

Solution for 3(m-4)+2(m+1)= equation:

Simplifying
3(m + -4) + 2(m + 1) = 0

Reorder the terms:
3(-4 + m) + 2(m + 1) = 0
(-4 * 3 + m * 3) + 2(m + 1) = 0
(-12 + 3m) + 2(m + 1) = 0

Reorder the terms:
-12 + 3m + 2(1 + m) = 0
-12 + 3m + (1 * 2 + m * 2) = 0
-12 + 3m + (2 + 2m) = 0

Reorder the terms:
-12 + 2 + 3m + 2m = 0

Combine like terms: -12 + 2 = -10
-10 + 3m + 2m = 0

Combine like terms: 3m + 2m = 5m
-10 + 5m = 0

Solving
-10 + 5m = 0

Solving for variable 'm'.

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

Add '10' to each side of the equation.
-10 + 10 + 5m = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5m = 0 + 10
5m = 0 + 10

Combine like terms: 0 + 10 = 10
5m = 10

Divide each side by '5'.
m = 2

Simplifying
m = 2