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

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

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

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

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

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

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

Solving
3 + n = 1 + 2n

Solving for variable 'n'.

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

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

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

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

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

Simplifying
n = 2