2(n+1)+3(n-1)=4n

Solution for 2(n+1)+3(n-1)=4n equation:

Simplifying
2(n + 1) + 3(n + -1) = 4n

Reorder the terms:
2(1 + n) + 3(n + -1) = 4n
(1 * 2 + n * 2) + 3(n + -1) = 4n
(2 + 2n) + 3(n + -1) = 4n

Reorder the terms:
2 + 2n + 3(-1 + n) = 4n
2 + 2n + (-1 * 3 + n * 3) = 4n
2 + 2n + (-3 + 3n) = 4n

Reorder the terms:
2 + -3 + 2n + 3n = 4n

Combine like terms: 2 + -3 = -1
-1 + 2n + 3n = 4n

Combine like terms: 2n + 3n = 5n
-1 + 5n = 4n

Solving
-1 + 5n = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-1 + 5n + -4n = 4n + -4n

Combine like terms: 5n + -4n = 1n
-1 + 1n = 4n + -4n

Combine like terms: 4n + -4n = 0
-1 + 1n = 0

Add '1' to each side of the equation.
-1 + 1 + 1n = 0 + 1

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

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

Divide each side by '1'.
n = 1

Simplifying
n = 1