360=x+(9x-35)+(x-46)+.5x

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Solution for 360=x+(9x-35)+(x-46)+.5x equation:


Simplifying
360 = x + (9x + -35) + (x + -46) + 0.5x

Reorder the terms:
360 = x + (-35 + 9x) + (x + -46) + 0.5x

Remove parenthesis around (-35 + 9x)
360 = x + -35 + 9x + (x + -46) + 0.5x

Reorder the terms:
360 = x + -35 + 9x + (-46 + x) + 0.5x

Remove parenthesis around (-46 + x)
360 = x + -35 + 9x + -46 + x + 0.5x

Reorder the terms:
360 = -35 + -46 + x + 9x + x + 0.5x

Combine like terms: -35 + -46 = -81
360 = -81 + x + 9x + x + 0.5x

Combine like terms: x + 9x = 10x
360 = -81 + 10x + x + 0.5x

Combine like terms: 10x + x = 11x
360 = -81 + 11x + 0.5x

Combine like terms: 11x + 0.5x = 11.5x
360 = -81 + 11.5x

Solving
360 = -81 + 11.5x

Solving for variable 'x'.

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

Add '-11.5x' to each side of the equation.
360 + -11.5x = -81 + 11.5x + -11.5x

Combine like terms: 11.5x + -11.5x = 0.0
360 + -11.5x = -81 + 0.0
360 + -11.5x = -81

Add '-360' to each side of the equation.
360 + -360 + -11.5x = -81 + -360

Combine like terms: 360 + -360 = 0
0 + -11.5x = -81 + -360
-11.5x = -81 + -360

Combine like terms: -81 + -360 = -441
-11.5x = -441

Divide each side by '-11.5'.
x = 38.34782609

Simplifying
x = 38.34782609

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