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

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

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

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

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

Reorder the terms:
6 + 2x + -1(-3 + x) = 1
6 + 2x + (-3 * -1 + x * -1) = 1
6 + 2x + (3 + -1x) = 1

Reorder the terms:
6 + 3 + 2x + -1x = 1

Combine like terms: 6 + 3 = 9
9 + 2x + -1x = 1

Combine like terms: 2x + -1x = 1x
9 + 1x = 1

Solving
9 + 1x = 1

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1x = 1 + -9

Combine like terms: 9 + -9 = 0
0 + 1x = 1 + -9
1x = 1 + -9

Combine like terms: 1 + -9 = -8
1x = -8

Divide each side by '1'.
x = -8

Simplifying
x = -8