(4x+34)+(5x-15)+(3x-1)+(5x-15)=360

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Solution for (4x+34)+(5x-15)+(3x-1)+(5x-15)=360 equation: 


Simplifying
(4x + 34) + (5x + -15) + (3x + -1) + (5x + -15) = 360

Reorder the terms:
(34 + 4x) + (5x + -15) + (3x + -1) + (5x + -15) = 360

Remove parenthesis around (34 + 4x)
34 + 4x + (5x + -15) + (3x + -1) + (5x + -15) = 360

Reorder the terms:
34 + 4x + (-15 + 5x) + (3x + -1) + (5x + -15) = 360

Remove parenthesis around (-15 + 5x)
34 + 4x + -15 + 5x + (3x + -1) + (5x + -15) = 360

Reorder the terms:
34 + 4x + -15 + 5x + (-1 + 3x) + (5x + -15) = 360

Remove parenthesis around (-1 + 3x)
34 + 4x + -15 + 5x + -1 + 3x + (5x + -15) = 360

Reorder the terms:
34 + 4x + -15 + 5x + -1 + 3x + (-15 + 5x) = 360

Remove parenthesis around (-15 + 5x)
34 + 4x + -15 + 5x + -1 + 3x + -15 + 5x = 360

Reorder the terms:
34 + -15 + -1 + -15 + 4x + 5x + 3x + 5x = 360

Combine like terms: 34 + -15 = 19
19 + -1 + -15 + 4x + 5x + 3x + 5x = 360

Combine like terms: 19 + -1 = 18
18 + -15 + 4x + 5x + 3x + 5x = 360

Combine like terms: 18 + -15 = 3
3 + 4x + 5x + 3x + 5x = 360

Combine like terms: 4x + 5x = 9x
3 + 9x + 3x + 5x = 360

Combine like terms: 9x + 3x = 12x
3 + 12x + 5x = 360

Combine like terms: 12x + 5x = 17x
3 + 17x = 360

Solving
3 + 17x = 360

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 17x = 360 + -3

Combine like terms: 3 + -3 = 0
0 + 17x = 360 + -3
17x = 360 + -3

Combine like terms: 360 + -3 = 357
17x = 357

Divide each side by '17'.
x = 21

Simplifying
x = 21

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