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

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

Simplifying
2(1 + 3m) + -3 = -1(5 + -2m)
(1 * 2 + 3m * 2) + -3 = -1(5 + -2m)
(2 + 6m) + -3 = -1(5 + -2m)

Reorder the terms:
2 + -3 + 6m = -1(5 + -2m)

Combine like terms: 2 + -3 = -1
-1 + 6m = -1(5 + -2m)
-1 + 6m = (5 * -1 + -2m * -1)
-1 + 6m = (-5 + 2m)

Solving
-1 + 6m = -5 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-1 + 6m + -2m = -5 + 2m + -2m

Combine like terms: 6m + -2m = 4m
-1 + 4m = -5 + 2m + -2m

Combine like terms: 2m + -2m = 0
-1 + 4m = -5 + 0
-1 + 4m = -5

Add '1' to each side of the equation.
-1 + 1 + 4m = -5 + 1

Combine like terms: -1 + 1 = 0
0 + 4m = -5 + 1
4m = -5 + 1

Combine like terms: -5 + 1 = -4
4m = -4

Divide each side by '4'.
m = -1

Simplifying
m = -1