(5m+2n-6)-(3m-2n+4)=

Solution for (5m+2n-6)-(3m-2n+4)= equation:

Simplifying
(5m + 2n + -6) + -1(3m + -2n + 4) = 0

Reorder the terms:
(-6 + 5m + 2n) + -1(3m + -2n + 4) = 0

Remove parenthesis around (-6 + 5m + 2n)
-6 + 5m + 2n + -1(3m + -2n + 4) = 0

Reorder the terms:
-6 + 5m + 2n + -1(4 + 3m + -2n) = 0
-6 + 5m + 2n + (4 * -1 + 3m * -1 + -2n * -1) = 0
-6 + 5m + 2n + (-4 + -3m + 2n) = 0

Reorder the terms:
-6 + -4 + 5m + -3m + 2n + 2n = 0

Combine like terms: -6 + -4 = -10
-10 + 5m + -3m + 2n + 2n = 0

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

Combine like terms: 2n + 2n = 4n
-10 + 2m + 4n = 0

Solving
-10 + 2m + 4n = 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 + 2m + 10 + 4n = 0 + 10

Reorder the terms:
-10 + 10 + 2m + 4n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 2m + 4n = 0 + 10
2m + 4n = 0 + 10

Combine like terms: 0 + 10 = 10
2m + 4n = 10

Add '-4n' to each side of the equation.
2m + 4n + -4n = 10 + -4n

Combine like terms: 4n + -4n = 0
2m + 0 = 10 + -4n
2m = 10 + -4n

Divide each side by '2'.
m = 5 + -2n

Simplifying
m = 5 + -2n