2x+82=8x-14

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Solution for 2x+82=8x-14 equation:


Simplifying
2x + 82 = 8x + -14

Reorder the terms:
82 + 2x = 8x + -14

Reorder the terms:
82 + 2x = -14 + 8x

Solving
82 + 2x = -14 + 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.
82 + 2x + -8x = -14 + 8x + -8x

Combine like terms: 2x + -8x = -6x
82 + -6x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
82 + -6x = -14 + 0
82 + -6x = -14

Add '-82' to each side of the equation.
82 + -82 + -6x = -14 + -82

Combine like terms: 82 + -82 = 0
0 + -6x = -14 + -82
-6x = -14 + -82

Combine like terms: -14 + -82 = -96
-6x = -96

Divide each side by '-6'.
x = 16

Simplifying
x = 16

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