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

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


Simplifying
-2[(x + 2) + (x + 2)] = (x + -1) + -1(x + -3)

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

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

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

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

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

Combine like terms: 2 + 2 = 4
-2[4 + x + x] = (x + -1) + -1(x + -3)

Combine like terms: x + x = 2x
-2[4 + 2x] = (x + -1) + -1(x + -3)
[4 * -2 + 2x * -2] = (x + -1) + -1(x + -3)
[-8 + -4x] = (x + -1) + -1(x + -3)

Reorder the terms:
-8 + -4x = (-1 + x) + -1(x + -3)

Remove parenthesis around (-1 + x)
-8 + -4x = -1 + x + -1(x + -3)

Reorder the terms:
-8 + -4x = -1 + x + -1(-3 + x)
-8 + -4x = -1 + x + (-3 * -1 + x * -1)
-8 + -4x = -1 + x + (3 + -1x)

Reorder the terms:
-8 + -4x = -1 + 3 + x + -1x

Combine like terms: -1 + 3 = 2
-8 + -4x = 2 + x + -1x

Combine like terms: x + -1x = 0
-8 + -4x = 2 + 0
-8 + -4x = 2

Solving
-8 + -4x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -4x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 2 + 8
-4x = 2 + 8

Combine like terms: 2 + 8 = 10
-4x = 10

Divide each side by '-4'.
x = -2.5

Simplifying
x = -2.5

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