5m+6+4(3m-5)-5(m+5)=0

Solution for 5m+6+4(3m-5)-5(m+5)=0 equation:

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

Reorder the terms:
5m + 6 + 4(-5 + 3m) + -5(m + 5) = 0
5m + 6 + (-5 * 4 + 3m * 4) + -5(m + 5) = 0
5m + 6 + (-20 + 12m) + -5(m + 5) = 0

Reorder the terms:
5m + 6 + -20 + 12m + -5(5 + m) = 0
5m + 6 + -20 + 12m + (5 * -5 + m * -5) = 0
5m + 6 + -20 + 12m + (-25 + -5m) = 0

Reorder the terms:
6 + -20 + -25 + 5m + 12m + -5m = 0

Combine like terms: 6 + -20 = -14
-14 + -25 + 5m + 12m + -5m = 0

Combine like terms: -14 + -25 = -39
-39 + 5m + 12m + -5m = 0

Combine like terms: 5m + 12m = 17m
-39 + 17m + -5m = 0

Combine like terms: 17m + -5m = 12m
-39 + 12m = 0

Solving
-39 + 12m = 0

Solving for variable 'm'.

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

Add '39' to each side of the equation.
-39 + 39 + 12m = 0 + 39

Combine like terms: -39 + 39 = 0
0 + 12m = 0 + 39
12m = 0 + 39

Combine like terms: 0 + 39 = 39
12m = 39

Divide each side by '12'.
m = 3.25

Simplifying
m = 3.25