x+9=(2x-1)2

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Solution for x+9=(2x-1)2 equation:


Simplifying
x + 9 = (2x + -1) * 2

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

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

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

Solving
9 + x = -2 + 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.
9 + x + -4x = -2 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
9 + -3x = -2 + 0
9 + -3x = -2

Add '-9' to each side of the equation.
9 + -9 + -3x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + -3x = -2 + -9
-3x = -2 + -9

Combine like terms: -2 + -9 = -11
-3x = -11

Divide each side by '-3'.
x = 3.666666667

Simplifying
x = 3.666666667

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