(131+18x+1)2=(26x-2)2

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Solution for (131+18x+1)2=(26x-2)2 equation:


Simplifying
(131 + 18x + 1) * 2 = (26x + -2) * 2

Reorder the terms:
(131 + 1 + 18x) * 2 = (26x + -2) * 2

Combine like terms: 131 + 1 = 132
(132 + 18x) * 2 = (26x + -2) * 2

Reorder the terms for easier multiplication:
2(132 + 18x) = (26x + -2) * 2
(132 * 2 + 18x * 2) = (26x + -2) * 2
(264 + 36x) = (26x + -2) * 2

Reorder the terms:
264 + 36x = (-2 + 26x) * 2

Reorder the terms for easier multiplication:
264 + 36x = 2(-2 + 26x)
264 + 36x = (-2 * 2 + 26x * 2)
264 + 36x = (-4 + 52x)

Solving
264 + 36x = -4 + 52x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-52x' to each side of the equation.
264 + 36x + -52x = -4 + 52x + -52x

Combine like terms: 36x + -52x = -16x
264 + -16x = -4 + 52x + -52x

Combine like terms: 52x + -52x = 0
264 + -16x = -4 + 0
264 + -16x = -4

Add '-264' to each side of the equation.
264 + -264 + -16x = -4 + -264

Combine like terms: 264 + -264 = 0
0 + -16x = -4 + -264
-16x = -4 + -264

Combine like terms: -4 + -264 = -268
-16x = -268

Divide each side by '-16'.
x = 16.75

Simplifying
x = 16.75

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