360=(x+60)+(2x+100)+(3x+80)

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Solution for 360=(x+60)+(2x+100)+(3x+80) equation:


Simplifying
360 = (x + 60) + (2x + 100) + (3x + 80)

Reorder the terms:
360 = (60 + x) + (2x + 100) + (3x + 80)

Remove parenthesis around (60 + x)
360 = 60 + x + (2x + 100) + (3x + 80)

Reorder the terms:
360 = 60 + x + (100 + 2x) + (3x + 80)

Remove parenthesis around (100 + 2x)
360 = 60 + x + 100 + 2x + (3x + 80)

Reorder the terms:
360 = 60 + x + 100 + 2x + (80 + 3x)

Remove parenthesis around (80 + 3x)
360 = 60 + x + 100 + 2x + 80 + 3x

Reorder the terms:
360 = 60 + 100 + 80 + x + 2x + 3x

Combine like terms: 60 + 100 = 160
360 = 160 + 80 + x + 2x + 3x

Combine like terms: 160 + 80 = 240
360 = 240 + x + 2x + 3x

Combine like terms: x + 2x = 3x
360 = 240 + 3x + 3x

Combine like terms: 3x + 3x = 6x
360 = 240 + 6x

Solving
360 = 240 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
360 + -6x = 240 + 6x + -6x

Combine like terms: 6x + -6x = 0
360 + -6x = 240 + 0
360 + -6x = 240

Add '-360' to each side of the equation.
360 + -360 + -6x = 240 + -360

Combine like terms: 360 + -360 = 0
0 + -6x = 240 + -360
-6x = 240 + -360

Combine like terms: 240 + -360 = -120
-6x = -120

Divide each side by '-6'.
x = 20

Simplifying
x = 20

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