x+(3x+17)+(2x-10)+71=360

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Solution for x+(3x+17)+(2x-10)+71=360 equation: 


Simplifying
x + (3x + 17) + (2x + -10) + 71 = 360

Reorder the terms:
x + (17 + 3x) + (2x + -10) + 71 = 360

Remove parenthesis around (17 + 3x)
x + 17 + 3x + (2x + -10) + 71 = 360

Reorder the terms:
x + 17 + 3x + (-10 + 2x) + 71 = 360

Remove parenthesis around (-10 + 2x)
x + 17 + 3x + -10 + 2x + 71 = 360

Reorder the terms:
17 + -10 + 71 + x + 3x + 2x = 360

Combine like terms: 17 + -10 = 7
7 + 71 + x + 3x + 2x = 360

Combine like terms: 7 + 71 = 78
78 + x + 3x + 2x = 360

Combine like terms: x + 3x = 4x
78 + 4x + 2x = 360

Combine like terms: 4x + 2x = 6x
78 + 6x = 360

Solving
78 + 6x = 360

Solving for variable 'x'.

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

Add '-78' to each side of the equation.
78 + -78 + 6x = 360 + -78

Combine like terms: 78 + -78 = 0
0 + 6x = 360 + -78
6x = 360 + -78

Combine like terms: 360 + -78 = 282
6x = 282

Divide each side by '6'.
x = 47

Simplifying
x = 47

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