(x+34)+(3x-17)+(3x-17)+x=360

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Solution for (x+34)+(3x-17)+(3x-17)+x=360 equation: 


Simplifying
(x + 34) + (3x + -17) + (3x + -17) + x = 360

Reorder the terms:
(34 + x) + (3x + -17) + (3x + -17) + x = 360

Remove parenthesis around (34 + x)
34 + x + (3x + -17) + (3x + -17) + x = 360

Reorder the terms:
34 + x + (-17 + 3x) + (3x + -17) + x = 360

Remove parenthesis around (-17 + 3x)
34 + x + -17 + 3x + (3x + -17) + x = 360

Reorder the terms:
34 + x + -17 + 3x + (-17 + 3x) + x = 360

Remove parenthesis around (-17 + 3x)
34 + x + -17 + 3x + -17 + 3x + x = 360

Reorder the terms:
34 + -17 + -17 + x + 3x + 3x + x = 360

Combine like terms: 34 + -17 = 17
17 + -17 + x + 3x + 3x + x = 360

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

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

Combine like terms: 4x + 3x = 7x
7x + x = 360

Combine like terms: 7x + x = 8x
8x = 360

Solving
8x = 360

Solving for variable 'x'.

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

Divide each side by '8'.
x = 45

Simplifying
x = 45

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