X*10+Y*3+Z*0.5=100

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Solution for X*10+Y*3+Z*0.5=100 equation: 


Simplifying
X * 10 + Y * 3 + Z * 0.5 = 100

Reorder the terms for easier multiplication:
10X + Y * 3 + Z * 0.5 = 100

Reorder the terms for easier multiplication:
10X + 3Y + Z * 0.5 = 100

Reorder the terms for easier multiplication:
10X + 3Y + 0.5Z = 100

Solving
10X + 3Y + 0.5Z = 100

Solving for variable 'X'.

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

Add '-3Y' to each side of the equation.
10X + 3Y + -3Y + 0.5Z = 100 + -3Y

Combine like terms: 3Y + -3Y = 0
10X + 0 + 0.5Z = 100 + -3Y
10X + 0.5Z = 100 + -3Y

Add '-0.5Z' to each side of the equation.
10X + 0.5Z + -0.5Z = 100 + -3Y + -0.5Z

Combine like terms: 0.5Z + -0.5Z = 0.0
10X + 0.0 = 100 + -3Y + -0.5Z
10X = 100 + -3Y + -0.5Z

Divide each side by '10'.
X = 10 + -0.3Y + -0.05Z

Simplifying
X = 10 + -0.3Y + -0.05Z

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