2[m-3]=m+5

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

Simplifying
2[m + -3] = m + 5

Reorder the terms:
2[-3 + m] = m + 5
[-3 * 2 + m * 2] = m + 5
[-6 + 2m] = m + 5

Reorder the terms:
-6 + 2m = 5 + m

Solving
-6 + 2m = 5 + m

Solving for variable 'm'.

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

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

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

Combine like terms: m + -1m = 0
-6 + 1m = 5 + 0
-6 + 1m = 5

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

Combine like terms: -6 + 6 = 0
0 + 1m = 5 + 6
1m = 5 + 6

Combine like terms: 5 + 6 = 11
1m = 11

Divide each side by '1'.
m = 11

Simplifying
m = 11