(x+1)2+2(x-3)-5=(x+2)2-(x+3)+2

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Solution for (x+1)2+2(x-3)-5=(x+2)2-(x+3)+2 equation: 


Simplifying
(x + 1) * 2 + 2(x + -3) + -5 = (x + 2) * 2 + -1(x + 3) + 2

Reorder the terms:
(1 + x) * 2 + 2(x + -3) + -5 = (x + 2) * 2 + -1(x + 3) + 2

Reorder the terms for easier multiplication:
2(1 + x) + 2(x + -3) + -5 = (x + 2) * 2 + -1(x + 3) + 2
(1 * 2 + x * 2) + 2(x + -3) + -5 = (x + 2) * 2 + -1(x + 3) + 2
(2 + 2x) + 2(x + -3) + -5 = (x + 2) * 2 + -1(x + 3) + 2

Reorder the terms:
2 + 2x + 2(-3 + x) + -5 = (x + 2) * 2 + -1(x + 3) + 2
2 + 2x + (-3 * 2 + x * 2) + -5 = (x + 2) * 2 + -1(x + 3) + 2
2 + 2x + (-6 + 2x) + -5 = (x + 2) * 2 + -1(x + 3) + 2

Reorder the terms:
2 + -6 + -5 + 2x + 2x = (x + 2) * 2 + -1(x + 3) + 2

Combine like terms: 2 + -6 = -4
-4 + -5 + 2x + 2x = (x + 2) * 2 + -1(x + 3) + 2

Combine like terms: -4 + -5 = -9
-9 + 2x + 2x = (x + 2) * 2 + -1(x + 3) + 2

Combine like terms: 2x + 2x = 4x
-9 + 4x = (x + 2) * 2 + -1(x + 3) + 2

Reorder the terms:
-9 + 4x = (2 + x) * 2 + -1(x + 3) + 2

Reorder the terms for easier multiplication:
-9 + 4x = 2(2 + x) + -1(x + 3) + 2
-9 + 4x = (2 * 2 + x * 2) + -1(x + 3) + 2
-9 + 4x = (4 + 2x) + -1(x + 3) + 2

Reorder the terms:
-9 + 4x = 4 + 2x + -1(3 + x) + 2
-9 + 4x = 4 + 2x + (3 * -1 + x * -1) + 2
-9 + 4x = 4 + 2x + (-3 + -1x) + 2

Reorder the terms:
-9 + 4x = 4 + -3 + 2 + 2x + -1x

Combine like terms: 4 + -3 = 1
-9 + 4x = 1 + 2 + 2x + -1x

Combine like terms: 1 + 2 = 3
-9 + 4x = 3 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-9 + 4x = 3 + 1x

Solving
-9 + 4x = 3 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-9 + 4x + -1x = 3 + 1x + -1x

Combine like terms: 4x + -1x = 3x
-9 + 3x = 3 + 1x + -1x

Combine like terms: 1x + -1x = 0
-9 + 3x = 3 + 0
-9 + 3x = 3

Add '9' to each side of the equation.
-9 + 9 + 3x = 3 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 3 + 9
3x = 3 + 9

Combine like terms: 3 + 9 = 12
3x = 12

Divide each side by '3'.
x = 4

Simplifying
x = 4

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