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

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

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

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

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

Remove parenthesis around (2 + 2x)
2 + 2x + ((x + -1) * 3) = 1

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

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

Remove parenthesis around (-3 + 3x)
2 + 2x + -3 + 3x = 1

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

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

Combine like terms: 2x + 3x = 5x
-1 + 5x = 1

Solving
-1 + 5x = 1

Solving for variable 'x'.

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

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

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

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

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4