X+(x-35)+(x-45)+.5x=360

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Solution for X+(x-35)+(x-45)+.5x=360 equation:


Simplifying
X + (x + -35) + (x + -45) + 0.5x = 360

Reorder the terms:
X + (-35 + x) + (x + -45) + 0.5x = 360

Remove parenthesis around (-35 + x)
X + -35 + x + (x + -45) + 0.5x = 360

Reorder the terms:
X + -35 + x + (-45 + x) + 0.5x = 360

Remove parenthesis around (-45 + x)
X + -35 + x + -45 + x + 0.5x = 360

Reorder the terms:
-35 + -45 + X + x + x + 0.5x = 360

Combine like terms: -35 + -45 = -80
-80 + X + x + x + 0.5x = 360

Combine like terms: x + x = 2x
-80 + X + 2x + 0.5x = 360

Combine like terms: 2x + 0.5x = 2.5x
-80 + X + 2.5x = 360

Solving
-80 + X + 2.5x = 360

Solving for variable 'X'.

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

Add '80' to each side of the equation.
-80 + X + 80 + 2.5x = 360 + 80

Reorder the terms:
-80 + 80 + X + 2.5x = 360 + 80

Combine like terms: -80 + 80 = 0
0 + X + 2.5x = 360 + 80
X + 2.5x = 360 + 80

Combine like terms: 360 + 80 = 440
X + 2.5x = 440

Add '-2.5x' to each side of the equation.
X + 2.5x + -2.5x = 440 + -2.5x

Combine like terms: 2.5x + -2.5x = 0.0
X + 0.0 = 440 + -2.5x
X = 440 + -2.5x

Simplifying
X = 440 + -2.5x

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