82=2x+2x+3x+1+3x+1

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Solution for 82=2x+2x+3x+1+3x+1 equation:


Simplifying
82 = 2x + 2x + 3x + 1 + 3x + 1

Reorder the terms:
82 = 1 + 1 + 2x + 2x + 3x + 3x

Combine like terms: 1 + 1 = 2
82 = 2 + 2x + 2x + 3x + 3x

Combine like terms: 2x + 2x = 4x
82 = 2 + 4x + 3x + 3x

Combine like terms: 4x + 3x = 7x
82 = 2 + 7x + 3x

Combine like terms: 7x + 3x = 10x
82 = 2 + 10x

Solving
82 = 2 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
82 + -10x = 2 + 10x + -10x

Combine like terms: 10x + -10x = 0
82 + -10x = 2 + 0
82 + -10x = 2

Add '-82' to each side of the equation.
82 + -82 + -10x = 2 + -82

Combine like terms: 82 + -82 = 0
0 + -10x = 2 + -82
-10x = 2 + -82

Combine like terms: 2 + -82 = -80
-10x = -80

Divide each side by '-10'.
x = 8

Simplifying
x = 8

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