3(n-1)=5n+3-2b

Solution for 3(n-1)=5n+3-2b equation:

Simplifying
3(n + -1) = 5n + 3 + -2b

Reorder the terms:
3(-1 + n) = 5n + 3 + -2b
(-1 * 3 + n * 3) = 5n + 3 + -2b
(-3 + 3n) = 5n + 3 + -2b

Reorder the terms:
-3 + 3n = 3 + -2b + 5n

Solving
-3 + 3n = 3 + -2b + 5n

Solving for variable 'n'.

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

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

Combine like terms: 3n + -5n = -2n
-3 + -2n = 3 + -2b + 5n + -5n

Combine like terms: 5n + -5n = 0
-3 + -2n = 3 + -2b + 0
-3 + -2n = 3 + -2b

Add '3' to each side of the equation.
-3 + 3 + -2n = 3 + 3 + -2b

Combine like terms: -3 + 3 = 0
0 + -2n = 3 + 3 + -2b
-2n = 3 + 3 + -2b

Combine like terms: 3 + 3 = 6
-2n = 6 + -2b

Divide each side by '-2'.
n = -3 + b

Simplifying
n = -3 + b