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

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

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

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

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

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

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

Combine like terms: 2m + -2m = 0
3 + 1m = -6 + 0
3 + 1m = -6

Add '-3' to each side of the equation.
3 + -3 + 1m = -6 + -3

Combine like terms: 3 + -3 = 0
0 + 1m = -6 + -3
1m = -6 + -3

Combine like terms: -6 + -3 = -9
1m = -9

Divide each side by '1'.
m = -9

Simplifying
m = -9