2(2m+3)+3(m-5)=5

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

Simplifying
2(2m + 3) + 3(m + -5) = 5

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

Reorder the terms:
6 + 4m + 3(-5 + m) = 5
6 + 4m + (-5 * 3 + m * 3) = 5
6 + 4m + (-15 + 3m) = 5

Reorder the terms:
6 + -15 + 4m + 3m = 5

Combine like terms: 6 + -15 = -9
-9 + 4m + 3m = 5

Combine like terms: 4m + 3m = 7m
-9 + 7m = 5

Solving
-9 + 7m = 5

Solving for variable 'm'.

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

Add '9' to each side of the equation.
-9 + 9 + 7m = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 7m = 5 + 9
7m = 5 + 9

Combine like terms: 5 + 9 = 14
7m = 14

Divide each side by '7'.
m = 2

Simplifying
m = 2