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

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

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

Reorder the terms:
2(-3 + n) + 5 = 3(n + -1)
(-3 * 2 + n * 2) + 5 = 3(n + -1)
(-6 + 2n) + 5 = 3(n + -1)

Reorder the terms:
-6 + 5 + 2n = 3(n + -1)

Combine like terms: -6 + 5 = -1
-1 + 2n = 3(n + -1)

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

Solving
-1 + 2n = -3 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-1 + 2n + -3n = -3 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-1 + -1n = -3 + 3n + -3n

Combine like terms: 3n + -3n = 0
-1 + -1n = -3 + 0
-1 + -1n = -3

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

Combine like terms: -1 + 1 = 0
0 + -1n = -3 + 1
-1n = -3 + 1

Combine like terms: -3 + 1 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2