(x+4)2-2x-5=(x-1)2

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Solution for (x+4)2-2x-5=(x-1)2 equation:


Simplifying
(x + 4) * 2 + -2x + -5 = (x + -1) * 2

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

Reorder the terms for easier multiplication:
2(4 + x) + -2x + -5 = (x + -1) * 2
(4 * 2 + x * 2) + -2x + -5 = (x + -1) * 2
(8 + 2x) + -2x + -5 = (x + -1) * 2

Reorder the terms:
8 + -5 + 2x + -2x = (x + -1) * 2

Combine like terms: 8 + -5 = 3
3 + 2x + -2x = (x + -1) * 2

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

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

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

Solving
3 = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + -2x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
3 + -2x = -2 + 0
3 + -2x = -2

Add '-3' to each side of the equation.
3 + -3 + -2x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -2 + -3
-2x = -2 + -3

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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