5(2m+3)-1-2m=2(3(3+2m)-(3-m))

Solution for 5(2m+3)-1-2m=2(3(3+2m)-(3-m)) equation:

Simplifying
5(2m + 3) + -1 + -2m = 2(3(3 + 2m) + -1(3 + -1m))

Reorder the terms:
5(3 + 2m) + -1 + -2m = 2(3(3 + 2m) + -1(3 + -1m))
(3 * 5 + 2m * 5) + -1 + -2m = 2(3(3 + 2m) + -1(3 + -1m))
(15 + 10m) + -1 + -2m = 2(3(3 + 2m) + -1(3 + -1m))

Reorder the terms:
15 + -1 + 10m + -2m = 2(3(3 + 2m) + -1(3 + -1m))

Combine like terms: 15 + -1 = 14
14 + 10m + -2m = 2(3(3 + 2m) + -1(3 + -1m))

Combine like terms: 10m + -2m = 8m
14 + 8m = 2(3(3 + 2m) + -1(3 + -1m))
14 + 8m = 2((3 * 3 + 2m * 3) + -1(3 + -1m))
14 + 8m = 2((9 + 6m) + -1(3 + -1m))
14 + 8m = 2(9 + 6m + (3 * -1 + -1m * -1))
14 + 8m = 2(9 + 6m + (-3 + 1m))

Reorder the terms:
14 + 8m = 2(9 + -3 + 6m + 1m)

Combine like terms: 9 + -3 = 6
14 + 8m = 2(6 + 6m + 1m)

Combine like terms: 6m + 1m = 7m
14 + 8m = 2(6 + 7m)
14 + 8m = (6 * 2 + 7m * 2)
14 + 8m = (12 + 14m)

Solving
14 + 8m = 12 + 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
14 + 8m + -14m = 12 + 14m + -14m

Combine like terms: 8m + -14m = -6m
14 + -6m = 12 + 14m + -14m

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

Add '-14' to each side of the equation.
14 + -14 + -6m = 12 + -14

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

Combine like terms: 12 + -14 = -2
-6m = -2

Divide each side by '-6'.
m = 0.3333333333

Simplifying
m = 0.3333333333