(0.5*x)+(10*y)+(3*z)=100

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Solution for (0.5*x)+(10*y)+(3*z)=100 equation: 


Simplifying
(0.5x) + (10y) + (3z) = 100

Solving
(0.5x) + (10y) + (3z) = 100

Solving for variable 'x'.

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

Add '(-10y)' to each side of the equation.
(0.5x) + (10y) + (-10y) + (3z) = 100 + (-10y)

Combine like terms: (10y) + (-10y) = 0
(0.5x) + 0 + (3z) = 100 + (-10y)
(0.5x) + (3z) = 100 + (-10y)

Add '(-3z)' to each side of the equation.
(0.5x) + (3z) + (-3z) = 100 + (-10y) + (-3z)

Combine like terms: (3z) + (-3z) = 0
(0.5x) + 0 = 100 + (-10y) + (-3z)
(0.5x) = 100 + (-10y) + (-3z)

Divide each side by '0.5'.
x = 200 + (-20y) + (-6z)

Simplifying
x = 200 + (-20y) + (-6z)

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