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

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

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

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

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

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

Combine like terms: 10m + 2m = 12m
14 + 12m = 2[2(3 + 2m) + -1(3 + -1m)]
14 + 12m = 2[(3 * 2 + 2m * 2) + -1(3 + -1m)]
14 + 12m = 2[(6 + 4m) + -1(3 + -1m)]
14 + 12m = 2[6 + 4m + (3 * -1 + -1m * -1)]
14 + 12m = 2[6 + 4m + (-3 + 1m)]

Reorder the terms:
14 + 12m = 2[6 + -3 + 4m + 1m]

Combine like terms: 6 + -3 = 3
14 + 12m = 2[3 + 4m + 1m]

Combine like terms: 4m + 1m = 5m
14 + 12m = 2[3 + 5m]
14 + 12m = [3 * 2 + 5m * 2]
14 + 12m = [6 + 10m]

Solving
14 + 12m = 6 + 10m

Solving for variable 'm'.

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

Add '-10m' to each side of the equation.
14 + 12m + -10m = 6 + 10m + -10m

Combine like terms: 12m + -10m = 2m
14 + 2m = 6 + 10m + -10m

Combine like terms: 10m + -10m = 0
14 + 2m = 6 + 0
14 + 2m = 6

Add '-14' to each side of the equation.
14 + -14 + 2m = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 2m = 6 + -14
2m = 6 + -14

Combine like terms: 6 + -14 = -8
2m = -8

Divide each side by '2'.
m = -4

Simplifying
m = -4