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

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


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

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

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

Reorder the terms:
2 + 2x = 1 + 2x + 2x

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

Solving
2 + 2x = 1 + 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 + 2x + -4x = 1 + 4x + -4x

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

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

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

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

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

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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