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

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


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

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

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

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

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

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

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

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

Combine like terms: 2x + 0.5x = 2.5x
-81 + X + 2.5x = 360

Solving
-81 + X + 2.5x = 360

Solving for variable 'X'.

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

Add '81' to each side of the equation.
-81 + X + 81 + 2.5x = 360 + 81

Reorder the terms:
-81 + 81 + X + 2.5x = 360 + 81

Combine like terms: -81 + 81 = 0
0 + X + 2.5x = 360 + 81
X + 2.5x = 360 + 81

Combine like terms: 360 + 81 = 441
X + 2.5x = 441

Add '-2.5x' to each side of the equation.
X + 2.5x + -2.5x = 441 + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
X + 0.0 = 441 + -2.5x
X = 441 + -2.5x

Simplifying
X = 441 + -2.5x

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