(2x-61)+(x-17)+3x=360

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Solution for (2x-61)+(x-17)+3x=360 equation:


Simplifying
(2x + -61) + (x + -17) + 3x = 360

Reorder the terms:
(-61 + 2x) + (x + -17) + 3x = 360

Remove parenthesis around (-61 + 2x)
-61 + 2x + (x + -17) + 3x = 360

Reorder the terms:
-61 + 2x + (-17 + x) + 3x = 360

Remove parenthesis around (-17 + x)
-61 + 2x + -17 + x + 3x = 360

Reorder the terms:
-61 + -17 + 2x + x + 3x = 360

Combine like terms: -61 + -17 = -78
-78 + 2x + x + 3x = 360

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

Combine like terms: 3x + 3x = 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 = 438
6x = 438

Divide each side by '6'.
x = 73

Simplifying
x = 73

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