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

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


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

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

Reorder the terms for easier multiplication:
3x + -1 + 2(2 + x) + -5 = 1 + (x + -3) * 2 + 2x
3x + -1 + (2 * 2 + x * 2) + -5 = 1 + (x + -3) * 2 + 2x
3x + -1 + (4 + 2x) + -5 = 1 + (x + -3) * 2 + 2x

Reorder the terms:
-1 + 4 + -5 + 3x + 2x = 1 + (x + -3) * 2 + 2x

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

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

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

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

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

Combine like terms: 1 + -6 = -5
-2 + 5x = -5 + 2x + 2x

Combine like terms: 2x + 2x = 4x
-2 + 5x = -5 + 4x

Solving
-2 + 5x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-2 + 5x + -4x = -5 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-2 + 1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 1x = -5 + 0
-2 + 1x = -5

Add '2' to each side of the equation.
-2 + 2 + 1x = -5 + 2

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

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

Divide each side by '1'.
x = -3

Simplifying
x = -3

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