2(4m+3)-3(2m-5)=37

Solution for 2(4m+3)-3(2m-5)=37 equation:

Simplifying
2(4m + 3) + -3(2m + -5) = 37

Reorder the terms:
2(3 + 4m) + -3(2m + -5) = 37
(3 * 2 + 4m * 2) + -3(2m + -5) = 37
(6 + 8m) + -3(2m + -5) = 37

Reorder the terms:
6 + 8m + -3(-5 + 2m) = 37
6 + 8m + (-5 * -3 + 2m * -3) = 37
6 + 8m + (15 + -6m) = 37

Reorder the terms:
6 + 15 + 8m + -6m = 37

Combine like terms: 6 + 15 = 21
21 + 8m + -6m = 37

Combine like terms: 8m + -6m = 2m
21 + 2m = 37

Solving
21 + 2m = 37

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 + 2m = 37 + -21

Combine like terms: 21 + -21 = 0
0 + 2m = 37 + -21
2m = 37 + -21

Combine like terms: 37 + -21 = 16
2m = 16

Divide each side by '2'.
m = 8

Simplifying
m = 8