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

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

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

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

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

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

Solving
3 + 5n = 4 + -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.
3 + 5n + 4n = 4 + -4n + 4n

Combine like terms: 5n + 4n = 9n
3 + 9n = 4 + -4n + 4n

Combine like terms: -4n + 4n = 0
3 + 9n = 4 + 0
3 + 9n = 4

Add '-3' to each side of the equation.
3 + -3 + 9n = 4 + -3

Combine like terms: 3 + -3 = 0
0 + 9n = 4 + -3
9n = 4 + -3

Combine like terms: 4 + -3 = 1
9n = 1

Divide each side by '9'.
n = 0.1111111111

Simplifying
n = 0.1111111111