x+1.5y+2z-(0.5x+0.5y+0.5z)-100=

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Solution for x+1.5y+2z-(0.5x+0.5y+0.5z)-100= equation:


Simplifying
x + 1.5y + 2z + -1(0.5x + 0.5y + 0.5z) + -100 = 0
x + 1.5y + 2z + (0.5x * -1 + 0.5y * -1 + 0.5z * -1) + -100 = 0
x + 1.5y + 2z + (-0.5x + -0.5y + -0.5z) + -100 = 0

Reorder the terms:
-100 + x + -0.5x + 1.5y + -0.5y + 2z + -0.5z = 0

Combine like terms: x + -0.5x = 0.5x
-100 + 0.5x + 1.5y + -0.5y + 2z + -0.5z = 0

Combine like terms: 1.5y + -0.5y = 1y
-100 + 0.5x + 1y + 2z + -0.5z = 0

Combine like terms: 2z + -0.5z = 1.5z
-100 + 0.5x + 1y + 1.5z = 0

Solving
-100 + 0.5x + 1y + 1.5z = 0

Solving for variable 'x'.

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

Add '100' to each side of the equation.
-100 + 0.5x + 1y + 100 + 1.5z = 0 + 100

Reorder the terms:
-100 + 100 + 0.5x + 1y + 1.5z = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 0.5x + 1y + 1.5z = 0 + 100
0.5x + 1y + 1.5z = 0 + 100

Combine like terms: 0 + 100 = 100
0.5x + 1y + 1.5z = 100

Add '-1y' to each side of the equation.
0.5x + 1y + -1y + 1.5z = 100 + -1y

Combine like terms: 1y + -1y = 0
0.5x + 0 + 1.5z = 100 + -1y
0.5x + 1.5z = 100 + -1y

Add '-1.5z' to each side of the equation.
0.5x + 1.5z + -1.5z = 100 + -1y + -1.5z

Combine like terms: 1.5z + -1.5z = 0.0
0.5x + 0.0 = 100 + -1y + -1.5z
0.5x = 100 + -1y + -1.5z

Divide each side by '0.5'.
x = 200 + -2y + -3z

Simplifying
x = 200 + -2y + -3z

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