82+(25x-2)+(25x+1)+(20x-1)=360

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Solution for 82+(25x-2)+(25x+1)+(20x-1)=360 equation:


Simplifying
82 + (25x + -2) + (25x + 1) + (20x + -1) = 360

Reorder the terms:
82 + (-2 + 25x) + (25x + 1) + (20x + -1) = 360

Remove parenthesis around (-2 + 25x)
82 + -2 + 25x + (25x + 1) + (20x + -1) = 360

Reorder the terms:
82 + -2 + 25x + (1 + 25x) + (20x + -1) = 360

Remove parenthesis around (1 + 25x)
82 + -2 + 25x + 1 + 25x + (20x + -1) = 360

Reorder the terms:
82 + -2 + 25x + 1 + 25x + (-1 + 20x) = 360

Remove parenthesis around (-1 + 20x)
82 + -2 + 25x + 1 + 25x + -1 + 20x = 360

Reorder the terms:
82 + -2 + 1 + -1 + 25x + 25x + 20x = 360

Combine like terms: 82 + -2 = 80
80 + 1 + -1 + 25x + 25x + 20x = 360

Combine like terms: 80 + 1 = 81
81 + -1 + 25x + 25x + 20x = 360

Combine like terms: 81 + -1 = 80
80 + 25x + 25x + 20x = 360

Combine like terms: 25x + 25x = 50x
80 + 50x + 20x = 360

Combine like terms: 50x + 20x = 70x
80 + 70x = 360

Solving
80 + 70x = 360

Solving for variable 'x'.

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

Add '-80' to each side of the equation.
80 + -80 + 70x = 360 + -80

Combine like terms: 80 + -80 = 0
0 + 70x = 360 + -80
70x = 360 + -80

Combine like terms: 360 + -80 = 280
70x = 280

Divide each side by '70'.
x = 4

Simplifying
x = 4

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