(14x+6)+(6x-3)+(4x+8)+(3x+30)+49=360

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Solution for (14x+6)+(6x-3)+(4x+8)+(3x+30)+49=360 equation: 


Simplifying
(14x + 6) + (6x + -3) + (4x + 8) + (3x + 30) + 49 = 360

Reorder the terms:
(6 + 14x) + (6x + -3) + (4x + 8) + (3x + 30) + 49 = 360

Remove parenthesis around (6 + 14x)
6 + 14x + (6x + -3) + (4x + 8) + (3x + 30) + 49 = 360

Reorder the terms:
6 + 14x + (-3 + 6x) + (4x + 8) + (3x + 30) + 49 = 360

Remove parenthesis around (-3 + 6x)
6 + 14x + -3 + 6x + (4x + 8) + (3x + 30) + 49 = 360

Reorder the terms:
6 + 14x + -3 + 6x + (8 + 4x) + (3x + 30) + 49 = 360

Remove parenthesis around (8 + 4x)
6 + 14x + -3 + 6x + 8 + 4x + (3x + 30) + 49 = 360

Reorder the terms:
6 + 14x + -3 + 6x + 8 + 4x + (30 + 3x) + 49 = 360

Remove parenthesis around (30 + 3x)
6 + 14x + -3 + 6x + 8 + 4x + 30 + 3x + 49 = 360

Reorder the terms:
6 + -3 + 8 + 30 + 49 + 14x + 6x + 4x + 3x = 360

Combine like terms: 6 + -3 = 3
3 + 8 + 30 + 49 + 14x + 6x + 4x + 3x = 360

Combine like terms: 3 + 8 = 11
11 + 30 + 49 + 14x + 6x + 4x + 3x = 360

Combine like terms: 11 + 30 = 41
41 + 49 + 14x + 6x + 4x + 3x = 360

Combine like terms: 41 + 49 = 90
90 + 14x + 6x + 4x + 3x = 360

Combine like terms: 14x + 6x = 20x
90 + 20x + 4x + 3x = 360

Combine like terms: 20x + 4x = 24x
90 + 24x + 3x = 360

Combine like terms: 24x + 3x = 27x
90 + 27x = 360

Solving
90 + 27x = 360

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 27x = 360 + -90

Combine like terms: 90 + -90 = 0
0 + 27x = 360 + -90
27x = 360 + -90

Combine like terms: 360 + -90 = 270
27x = 270

Divide each side by '27'.
x = 10

Simplifying
x = 10

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