X+0.5x+(x+5)=100

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


Simplifying
X + 0.5x + (x + 5) = 100

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

Remove parenthesis around (5 + x)
X + 0.5x + 5 + x = 100

Reorder the terms:
5 + X + 0.5x + x = 100

Combine like terms: 0.5x + x = 1.5x
5 + X + 1.5x = 100

Solving
5 + X + 1.5x = 100

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + X + -5 + 1.5x = 100 + -5

Reorder the terms:
5 + -5 + X + 1.5x = 100 + -5

Combine like terms: 5 + -5 = 0
0 + X + 1.5x = 100 + -5
X + 1.5x = 100 + -5

Combine like terms: 100 + -5 = 95
X + 1.5x = 95

Add '-1.5x' to each side of the equation.
X + 1.5x + -1.5x = 95 + -1.5x

Combine like terms: 1.5x + -1.5x = 0.0
X + 0.0 = 95 + -1.5x
X = 95 + -1.5x

Simplifying
X = 95 + -1.5x

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