6(m-2)-5(m+4)=32

Solution for 6(m-2)-5(m+4)=32 equation:

Simplifying
6(m + -2) + -5(m + 4) = 32

Reorder the terms:
6(-2 + m) + -5(m + 4) = 32
(-2 * 6 + m * 6) + -5(m + 4) = 32
(-12 + 6m) + -5(m + 4) = 32

Reorder the terms:
-12 + 6m + -5(4 + m) = 32
-12 + 6m + (4 * -5 + m * -5) = 32
-12 + 6m + (-20 + -5m) = 32

Reorder the terms:
-12 + -20 + 6m + -5m = 32

Combine like terms: -12 + -20 = -32
-32 + 6m + -5m = 32

Combine like terms: 6m + -5m = 1m
-32 + 1m = 32

Solving
-32 + 1m = 32

Solving for variable 'm'.

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

Add '32' to each side of the equation.
-32 + 32 + 1m = 32 + 32

Combine like terms: -32 + 32 = 0
0 + 1m = 32 + 32
1m = 32 + 32

Combine like terms: 32 + 32 = 64
1m = 64

Divide each side by '1'.
m = 64

Simplifying
m = 64