(x+14)2=8(x-14)

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Solution for (x+14)2=8(x-14) equation:


Simplifying
(x + 14) * 2 = 8(x + -14)

Reorder the terms:
(14 + x) * 2 = 8(x + -14)

Reorder the terms for easier multiplication:
2(14 + x) = 8(x + -14)
(14 * 2 + x * 2) = 8(x + -14)
(28 + 2x) = 8(x + -14)

Reorder the terms:
28 + 2x = 8(-14 + x)
28 + 2x = (-14 * 8 + x * 8)
28 + 2x = (-112 + 8x)

Solving
28 + 2x = -112 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
28 + 2x + -8x = -112 + 8x + -8x

Combine like terms: 2x + -8x = -6x
28 + -6x = -112 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -6x = -112 + 0
28 + -6x = -112

Add '-28' to each side of the equation.
28 + -28 + -6x = -112 + -28

Combine like terms: 28 + -28 = 0
0 + -6x = -112 + -28
-6x = -112 + -28

Combine like terms: -112 + -28 = -140
-6x = -140

Divide each side by '-6'.
x = 23.33333333

Simplifying
x = 23.33333333

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