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

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

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

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

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

Reorder the terms:
-6 + 3m = 2 + -3 + 2m

Combine like terms: 2 + -3 = -1
-6 + 3m = -1 + 2m

Solving
-6 + 3m = -1 + 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.
-6 + 3m + -2m = -1 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-6 + 1m = -1 + 2m + -2m

Combine like terms: 2m + -2m = 0
-6 + 1m = -1 + 0
-6 + 1m = -1

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

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

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

Divide each side by '1'.
m = 5

Simplifying
m = 5