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

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

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

Reorder the terms:
3[-3 + 2m] = 5[m + 1]
[-3 * 3 + 2m * 3] = 5[m + 1]
[-9 + 6m] = 5[m + 1]

Reorder the terms:
-9 + 6m = 5[1 + m]
-9 + 6m = [1 * 5 + m * 5]
-9 + 6m = [5 + 5m]

Solving
-9 + 6m = 5 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
-9 + 6m + -5m = 5 + 5m + -5m

Combine like terms: 6m + -5m = 1m
-9 + 1m = 5 + 5m + -5m

Combine like terms: 5m + -5m = 0
-9 + 1m = 5 + 0
-9 + 1m = 5

Add '9' to each side of the equation.
-9 + 9 + 1m = 5 + 9

Combine like terms: -9 + 9 = 0
0 + 1m = 5 + 9
1m = 5 + 9

Combine like terms: 5 + 9 = 14
1m = 14

Divide each side by '1'.
m = 14

Simplifying
m = 14