(2x-9)2+(3x-14)2=(x-1)2

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Solution for (2x-9)2+(3x-14)2=(x-1)2 equation: 


Simplifying
(2x + -9) * 2 + (3x + -14) * 2 = (x + -1) * 2

Reorder the terms:
(-9 + 2x) * 2 + (3x + -14) * 2 = (x + -1) * 2

Reorder the terms for easier multiplication:
2(-9 + 2x) + (3x + -14) * 2 = (x + -1) * 2
(-9 * 2 + 2x * 2) + (3x + -14) * 2 = (x + -1) * 2
(-18 + 4x) + (3x + -14) * 2 = (x + -1) * 2

Reorder the terms:
-18 + 4x + (-14 + 3x) * 2 = (x + -1) * 2

Reorder the terms for easier multiplication:
-18 + 4x + 2(-14 + 3x) = (x + -1) * 2
-18 + 4x + (-14 * 2 + 3x * 2) = (x + -1) * 2
-18 + 4x + (-28 + 6x) = (x + -1) * 2

Reorder the terms:
-18 + -28 + 4x + 6x = (x + -1) * 2

Combine like terms: -18 + -28 = -46
-46 + 4x + 6x = (x + -1) * 2

Combine like terms: 4x + 6x = 10x
-46 + 10x = (x + -1) * 2

Reorder the terms:
-46 + 10x = (-1 + x) * 2

Reorder the terms for easier multiplication:
-46 + 10x = 2(-1 + x)
-46 + 10x = (-1 * 2 + x * 2)
-46 + 10x = (-2 + 2x)

Solving
-46 + 10x = -2 + 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.
-46 + 10x + -2x = -2 + 2x + -2x

Combine like terms: 10x + -2x = 8x
-46 + 8x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-46 + 8x = -2 + 0
-46 + 8x = -2

Add '46' to each side of the equation.
-46 + 46 + 8x = -2 + 46

Combine like terms: -46 + 46 = 0
0 + 8x = -2 + 46
8x = -2 + 46

Combine like terms: -2 + 46 = 44
8x = 44

Divide each side by '8'.
x = 5.5

Simplifying
x = 5.5

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