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

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


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

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

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

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

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

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

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

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

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

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

Combine like terms: -15 + -1 = -16
-16 + -15 + 34 + 5x + 3x + 5x + 4x = 360

Combine like terms: -16 + -15 = -31
-31 + 34 + 5x + 3x + 5x + 4x = 360

Combine like terms: -31 + 34 = 3
3 + 5x + 3x + 5x + 4x = 360

Combine like terms: 5x + 3x = 8x
3 + 8x + 5x + 4x = 360

Combine like terms: 8x + 5x = 13x
3 + 13x + 4x = 360

Combine like terms: 13x + 4x = 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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