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

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

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

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

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

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

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

Combine like terms: -2 + -1 = -3
-3 + -1x + 2x = -1(x + 1) * 2(x + -1)

Combine like terms: -1x + 2x = 1x
-3 + 1x = -1(x + 1) * 2(x + -1)

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

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

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

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

Multiply (1 + x) * (-1 + x)
-3 + 1x = -2(1(-1 + x) + x(-1 + x))
-3 + 1x = -2((-1 * 1 + x * 1) + x(-1 + x))
-3 + 1x = -2((-1 + 1x) + x(-1 + x))
-3 + 1x = -2(-1 + 1x + (-1 * x + x * x))
-3 + 1x = -2(-1 + 1x + (-1x + x2))

Combine like terms: 1x + -1x = 0
-3 + 1x = -2(-1 + 0 + x2)
-3 + 1x = -2(-1 + x2)
-3 + 1x = (-1 * -2 + x2 * -2)
-3 + 1x = (2 + -2x2)

Solving
-3 + 1x = 2 + -2x2

Solving for variable 'x'.

Reorder the terms:
-3 + -2 + 1x + 2x2 = 2 + -2x2 + -2 + 2x2

Combine like terms: -3 + -2 = -5
-5 + 1x + 2x2 = 2 + -2x2 + -2 + 2x2

Reorder the terms:
-5 + 1x + 2x2 = 2 + -2 + -2x2 + 2x2

Combine like terms: 2 + -2 = 0
-5 + 1x + 2x2 = 0 + -2x2 + 2x2
-5 + 1x + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-5 + 1x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
-2.5 + 0.5x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + 0.5x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + 0.5x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + 0.5x + x2 = 0 + 2.5
0.5x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
0.5x + x2 = 2.5

The x term is 0.5x.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5x + 0.0625 + x2 = 2.5 + 0.0625

Reorder the terms:
0.0625 + 0.5x + x2 = 2.5 + 0.0625

Combine like terms: 2.5 + 0.0625 = 2.5625
0.0625 + 0.5x + x2 = 2.5625

Factor a perfect square on the left side:
(x + 0.25)(x + 0.25) = 2.5625

Calculate the square root of the right side: 1.600781059

Break this problem into two subproblems by setting 
(x + 0.25) equal to 1.600781059 and -1.600781059.

Subproblem 1
x + 0.25 = 1.600781059

Simplifying
x + 0.25 = 1.600781059

Reorder the terms:
0.25 + x = 1.600781059

Solving
0.25 + x = 1.600781059

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = 1.600781059 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = 1.600781059 + -0.25
x = 1.600781059 + -0.25

Combine like terms: 1.600781059 + -0.25 = 1.350781059
x = 1.350781059

Simplifying
x = 1.350781059

Subproblem 2
x + 0.25 = -1.600781059

Simplifying
x + 0.25 = -1.600781059

Reorder the terms:
0.25 + x = -1.600781059

Solving
0.25 + x = -1.600781059

Solving for variable 'x'.

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

Add '-0.25' to each side of the equation.
0.25 + -0.25 + x = -1.600781059 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + x = -1.600781059 + -0.25
x = -1.600781059 + -0.25

Combine like terms: -1.600781059 + -0.25 = -1.850781059
x = -1.850781059

Simplifying
x = -1.850781059

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.350781059, -1.850781059}