X+(X-5)+0.5X-2.5=100

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Solution for X+(X-5)+0.5X-2.5=100 equation: 


Simplifying
X + (X + -5) + 0.5X + -2.5 = 100

Reorder the terms:
X + (-5 + X) + 0.5X + -2.5 = 100

Remove parenthesis around (-5 + X)
X + -5 + X + 0.5X + -2.5 = 100

Reorder the terms:
-5 + -2.5 + X + X + 0.5X = 100

Combine like terms: -5 + -2.5 = -7.5
-7.5 + X + X + 0.5X = 100

Combine like terms: X + X = 2X
-7.5 + 2X + 0.5X = 100

Combine like terms: 2X + 0.5X = 2.5X
-7.5 + 2.5X = 100

Solving
-7.5 + 2.5X = 100

Solving for variable 'X'.

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

Add '7.5' to each side of the equation.
-7.5 + 7.5 + 2.5X = 100 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + 2.5X = 100 + 7.5
2.5X = 100 + 7.5

Combine like terms: 100 + 7.5 = 107.5
2.5X = 107.5

Divide each side by '2.5'.
X = 43

Simplifying
X = 43

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