2(2m+3)-3(m-5)=7

Solution for 2(2m+3)-3(m-5)=7 equation:

Simplifying
2(2m + 3) + -3(m + -5) = 7

Reorder the terms:
2(3 + 2m) + -3(m + -5) = 7
(3 * 2 + 2m * 2) + -3(m + -5) = 7
(6 + 4m) + -3(m + -5) = 7

Reorder the terms:
6 + 4m + -3(-5 + m) = 7
6 + 4m + (-5 * -3 + m * -3) = 7
6 + 4m + (15 + -3m) = 7

Reorder the terms:
6 + 15 + 4m + -3m = 7

Combine like terms: 6 + 15 = 21
21 + 4m + -3m = 7

Combine like terms: 4m + -3m = 1m
21 + 1m = 7

Solving
21 + 1m = 7

Solving for variable 'm'.

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

Add '-21' to each side of the equation.
21 + -21 + 1m = 7 + -21

Combine like terms: 21 + -21 = 0
0 + 1m = 7 + -21
1m = 7 + -21

Combine like terms: 7 + -21 = -14
1m = -14

Divide each side by '1'.
m = -14

Simplifying
m = -14