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

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

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

Reorder the terms:
5m + 6 + 2(-5 + 2m) = 5(m + 5)
5m + 6 + (-5 * 2 + 2m * 2) = 5(m + 5)
5m + 6 + (-10 + 4m) = 5(m + 5)

Reorder the terms:
6 + -10 + 5m + 4m = 5(m + 5)

Combine like terms: 6 + -10 = -4
-4 + 5m + 4m = 5(m + 5)

Combine like terms: 5m + 4m = 9m
-4 + 9m = 5(m + 5)

Reorder the terms:
-4 + 9m = 5(5 + m)
-4 + 9m = (5 * 5 + m * 5)
-4 + 9m = (25 + 5m)

Solving
-4 + 9m = 25 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-4 + 9m + -5m = 25 + 5m + -5m

Combine like terms: 9m + -5m = 4m
-4 + 4m = 25 + 5m + -5m

Combine like terms: 5m + -5m = 0
-4 + 4m = 25 + 0
-4 + 4m = 25

Add '4' to each side of the equation.
-4 + 4 + 4m = 25 + 4

Combine like terms: -4 + 4 = 0
0 + 4m = 25 + 4
4m = 25 + 4

Combine like terms: 25 + 4 = 29
4m = 29

Divide each side by '4'.
m = 7.25

Simplifying
m = 7.25