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

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


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

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

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

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

Reorder the terms for easier multiplication:
-2 + 4x = 2(5 + x)
-2 + 4x = (5 * 2 + x * 2)
-2 + 4x = (10 + 2x)

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

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

Combine like terms: 2x + -2x = 0
-2 + 2x = 10 + 0
-2 + 2x = 10

Add '2' to each side of the equation.
-2 + 2 + 2x = 10 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 10 + 2
2x = 10 + 2

Combine like terms: 10 + 2 = 12
2x = 12

Divide each side by '2'.
x = 6

Simplifying
x = 6

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