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

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

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

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

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

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

Solving
3 + 4n = 2 + 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 + 4n + -5n = 2 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
3 + -1n = 2 + 0
3 + -1n = 2

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

Combine like terms: 3 + -3 = 0
0 + -1n = 2 + -3
-1n = 2 + -3

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

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

Simplifying
n = 1