3x+82=6x-32

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Solution for 3x+82=6x-32 equation:


Simplifying
3x + 82 = 6x + -32

Reorder the terms:
82 + 3x = 6x + -32

Reorder the terms:
82 + 3x = -32 + 6x

Solving
82 + 3x = -32 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
82 + 3x + -6x = -32 + 6x + -6x

Combine like terms: 3x + -6x = -3x
82 + -3x = -32 + 6x + -6x

Combine like terms: 6x + -6x = 0
82 + -3x = -32 + 0
82 + -3x = -32

Add '-82' to each side of the equation.
82 + -82 + -3x = -32 + -82

Combine like terms: 82 + -82 = 0
0 + -3x = -32 + -82
-3x = -32 + -82

Combine like terms: -32 + -82 = -114
-3x = -114

Divide each side by '-3'.
x = 38

Simplifying
x = 38

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