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

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


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

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

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

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

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

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

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

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

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

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

Solving
-81 + 3.5x = 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 + 81 + 3.5x = 360 + 81

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

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

Divide each side by '3.5'.
x = 126

Simplifying
x = 126

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