(9x+1)2=(x-5)2

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Solution for (9x+1)2=(x-5)2 equation: 


Simplifying
(9x + 1) * 2 = (x + -5) * 2

Reorder the terms:
(1 + 9x) * 2 = (x + -5) * 2

Reorder the terms for easier multiplication:
2(1 + 9x) = (x + -5) * 2
(1 * 2 + 9x * 2) = (x + -5) * 2
(2 + 18x) = (x + -5) * 2

Reorder the terms:
2 + 18x = (-5 + x) * 2

Reorder the terms for easier multiplication:
2 + 18x = 2(-5 + x)
2 + 18x = (-5 * 2 + x * 2)
2 + 18x = (-10 + 2x)

Solving
2 + 18x = -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 + 18x + -2x = -10 + 2x + -2x

Combine like terms: 18x + -2x = 16x
2 + 16x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
2 + 16x = -10 + 0
2 + 16x = -10

Add '-2' to each side of the equation.
2 + -2 + 16x = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 16x = -10 + -2
16x = -10 + -2

Combine like terms: -10 + -2 = -12
16x = -12

Divide each side by '16'.
x = -0.75

Simplifying
x = -0.75

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