(x+3)2-(x+1)=0

Solution for (x+3)2-(x+1)=0 equation:

Simplifying
(x + 3) * 2 + -1(x + 1) = 0

Reorder the terms:
(3 + x) * 2 + -1(x + 1) = 0

Reorder the terms for easier multiplication:
2(3 + x) + -1(x + 1) = 0
(3 * 2 + x * 2) + -1(x + 1) = 0
(6 + 2x) + -1(x + 1) = 0

Reorder the terms:
6 + 2x + -1(1 + x) = 0
6 + 2x + (1 * -1 + x * -1) = 0
6 + 2x + (-1 + -1x) = 0

Reorder the terms:
6 + -1 + 2x + -1x = 0

Combine like terms: 6 + -1 = 5
5 + 2x + -1x = 0

Combine like terms: 2x + -1x = 1x
5 + 1x = 0

Solving
5 + 1x = 0

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 0 + -5
1x = 0 + -5

Combine like terms: 0 + -5 = -5
1x = -5

Divide each side by '1'.
x = -5

Simplifying
x = -5