10x-1=(2x+1)2

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Solution for 10x-1=(2x+1)2 equation:


Simplifying
10x + -1 = (2x + 1) * 2

Reorder the terms:
-1 + 10x = (2x + 1) * 2

Reorder the terms:
-1 + 10x = (1 + 2x) * 2

Reorder the terms for easier multiplication:
-1 + 10x = 2(1 + 2x)
-1 + 10x = (1 * 2 + 2x * 2)
-1 + 10x = (2 + 4x)

Solving
-1 + 10x = 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.
-1 + 10x + -4x = 2 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-1 + 6x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + 6x = 2 + 0
-1 + 6x = 2

Add '1' to each side of the equation.
-1 + 1 + 6x = 2 + 1

Combine like terms: -1 + 1 = 0
0 + 6x = 2 + 1
6x = 2 + 1

Combine like terms: 2 + 1 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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