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

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

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

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

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

Solving
3 + 3m = -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.
3 + 3m + -5m = -5 + 5m + -5m

Combine like terms: 3m + -5m = -2m
3 + -2m = -5 + 5m + -5m

Combine like terms: 5m + -5m = 0
3 + -2m = -5 + 0
3 + -2m = -5

Add '-3' to each side of the equation.
3 + -3 + -2m = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -2m = -5 + -3
-2m = -5 + -3

Combine like terms: -5 + -3 = -8
-2m = -8

Divide each side by '-2'.
m = 4

Simplifying
m = 4