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

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


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

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

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

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

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

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

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

Combine like terms: x + x = 2x
360 = -81 + 2x + x + 0.5x

Combine like terms: 2x + x = 3x
360 = -81 + 3x + 0.5x

Combine like terms: 3x + 0.5x = 3.5x
360 = -81 + 3.5x

Solving
360 = -81 + 3.5x

Solving for variable 'x'.

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

Add '-3.5x' to each side of the equation.
360 + -3.5x = -81 + 3.5x + -3.5x

Combine like terms: 3.5x + -3.5x = 0.0
360 + -3.5x = -81 + 0.0
360 + -3.5x = -81

Add '-360' to each side of the equation.
360 + -360 + -3.5x = -81 + -360

Combine like terms: 360 + -360 = 0
0 + -3.5x = -81 + -360
-3.5x = -81 + -360

Combine like terms: -81 + -360 = -441
-3.5x = -441

Divide each side by '-3.5'.
x = 126

Simplifying
x = 126

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