(2x+29)+(4x+7)+(x+46)=180

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Solution for (2x+29)+(4x+7)+(x+46)=180 equation:


Simplifying
(2x + 29) + (4x + 7) + (x + 46) = 180

Reorder the terms:
(29 + 2x) + (4x + 7) + (x + 46) = 180

Remove parenthesis around (29 + 2x)
29 + 2x + (4x + 7) + (x + 46) = 180

Reorder the terms:
29 + 2x + (7 + 4x) + (x + 46) = 180

Remove parenthesis around (7 + 4x)
29 + 2x + 7 + 4x + (x + 46) = 180

Reorder the terms:
29 + 2x + 7 + 4x + (46 + x) = 180

Remove parenthesis around (46 + x)
29 + 2x + 7 + 4x + 46 + x = 180

Reorder the terms:
29 + 7 + 46 + 2x + 4x + x = 180

Combine like terms: 29 + 7 = 36
36 + 46 + 2x + 4x + x = 180

Combine like terms: 36 + 46 = 82
82 + 2x + 4x + x = 180

Combine like terms: 2x + 4x = 6x
82 + 6x + x = 180

Combine like terms: 6x + x = 7x
82 + 7x = 180

Solving
82 + 7x = 180

Solving for variable 'x'.

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

Add '-82' to each side of the equation.
82 + -82 + 7x = 180 + -82

Combine like terms: 82 + -82 = 0
0 + 7x = 180 + -82
7x = 180 + -82

Combine like terms: 180 + -82 = 98
7x = 98

Divide each side by '7'.
x = 14

Simplifying
x = 14

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