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

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

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

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

Remove parenthesis around (3 + 2m)
2[3 + 2m + -1(1 + -2m)] = 2[3(3 + 2m) + -3(3 + -1m)]
2[3 + 2m + (1 * -1 + -2m * -1)] = 2[3(3 + 2m) + -3(3 + -1m)]
2[3 + 2m + (-1 + 2m)] = 2[3(3 + 2m) + -3(3 + -1m)]

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

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

Combine like terms: 2m + 2m = 4m
2[2 + 4m] = 2[3(3 + 2m) + -3(3 + -1m)]
[2 * 2 + 4m * 2] = 2[3(3 + 2m) + -3(3 + -1m)]
[4 + 8m] = 2[3(3 + 2m) + -3(3 + -1m)]
4 + 8m = 2[(3 * 3 + 2m * 3) + -3(3 + -1m)]
4 + 8m = 2[(9 + 6m) + -3(3 + -1m)]
4 + 8m = 2[9 + 6m + (3 * -3 + -1m * -3)]
4 + 8m = 2[9 + 6m + (-9 + 3m)]

Reorder the terms:
4 + 8m = 2[9 + -9 + 6m + 3m]

Combine like terms: 9 + -9 = 0
4 + 8m = 2[0 + 6m + 3m]
4 + 8m = 2[6m + 3m]

Combine like terms: 6m + 3m = 9m
4 + 8m = 2[9m]

Remove brackets around [9m]
4 + 8m = 2 * 9m

Multiply 2 * 9
4 + 8m = 18m

Solving
4 + 8m = 18m

Solving for variable 'm'.

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

Add '-18m' to each side of the equation.
4 + 8m + -18m = 18m + -18m

Combine like terms: 8m + -18m = -10m
4 + -10m = 18m + -18m

Combine like terms: 18m + -18m = 0
4 + -10m = 0

Add '-4' to each side of the equation.
4 + -4 + -10m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -10m = 0 + -4
-10m = 0 + -4

Combine like terms: 0 + -4 = -4
-10m = -4

Divide each side by '-10'.
m = 0.4

Simplifying
m = 0.4