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

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

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

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

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

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

Reorder the terms:
3 + 5n = -1 + 4n

Solving
3 + 5n = -1 + 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 = -1 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
3 + 1n = -1 + 0
3 + 1n = -1

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

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

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

Divide each side by '1'.
n = -4

Simplifying
n = -4