(1.7X-(x+y+z))+(3.2y-(x+y+z))+(3.3z-(x+y+z))=150

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Solution for (1.7X-(x+y+z))+(3.2y-(x+y+z))+(3.3z-(x+y+z))=150 equation:


Simplifying
(1.7X + -1(x + y + z)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150
(1.7X + (x * -1 + y * -1 + z * -1)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150
(1.7X + (-1x + -1y + -1z)) + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150

Remove parenthesis around (1.7X + -1x + -1y + -1z)
1.7X + -1x + -1y + -1z + (3.2y + -1(x + y + z)) + (3.3z + -1(x + y + z)) = 150
1.7X + -1x + -1y + -1z + (3.2y + (x * -1 + y * -1 + z * -1)) + (3.3z + -1(x + y + z)) = 150
1.7X + -1x + -1y + -1z + (3.2y + (-1x + -1y + -1z)) + (3.3z + -1(x + y + z)) = 150

Reorder the terms:
1.7X + -1x + -1y + -1z + (-1x + 3.2y + -1y + -1z) + (3.3z + -1(x + y + z)) = 150

Combine like terms: 3.2y + -1y = 2.2y
1.7X + -1x + -1y + -1z + (-1x + 2.2y + -1z) + (3.3z + -1(x + y + z)) = 150

Remove parenthesis around (-1x + 2.2y + -1z)
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + -1(x + y + z)) = 150
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + (x * -1 + y * -1 + z * -1)) = 150
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (3.3z + (-1x + -1y + -1z)) = 150

Reorder the terms:
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (-1x + -1y + 3.3z + -1z) = 150

Combine like terms: 3.3z + -1z = 2.3z
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + (-1x + -1y + 2.3z) = 150

Remove parenthesis around (-1x + -1y + 2.3z)
1.7X + -1x + -1y + -1z + -1x + 2.2y + -1z + -1x + -1y + 2.3z = 150

Reorder the terms:
1.7X + -1x + -1x + -1x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150

Combine like terms: -1x + -1x = -2x
1.7X + -2x + -1x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150

Combine like terms: -2x + -1x = -3x
1.7X + -3x + -1y + 2.2y + -1y + -1z + -1z + 2.3z = 150

Combine like terms: -1y + 2.2y = 1.2y
1.7X + -3x + 1.2y + -1y + -1z + -1z + 2.3z = 150

Combine like terms: 1.2y + -1y = 0.2y
1.7X + -3x + 0.2y + -1z + -1z + 2.3z = 150

Combine like terms: -1z + -1z = -2z
1.7X + -3x + 0.2y + -2z + 2.3z = 150

Combine like terms: -2z + 2.3z = 0.3z
1.7X + -3x + 0.2y + 0.3z = 150

Solving
1.7X + -3x + 0.2y + 0.3z = 150

Solving for variable 'X'.

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

Add '3x' to each side of the equation.
1.7X + -3x + 0.2y + 3x + 0.3z = 150 + 3x

Reorder the terms:
1.7X + -3x + 3x + 0.2y + 0.3z = 150 + 3x

Combine like terms: -3x + 3x = 0
1.7X + 0 + 0.2y + 0.3z = 150 + 3x
1.7X + 0.2y + 0.3z = 150 + 3x

Add '-0.2y' to each side of the equation.
1.7X + 0.2y + -0.2y + 0.3z = 150 + 3x + -0.2y

Combine like terms: 0.2y + -0.2y = 0.0
1.7X + 0.0 + 0.3z = 150 + 3x + -0.2y
1.7X + 0.3z = 150 + 3x + -0.2y

Add '-0.3z' to each side of the equation.
1.7X + 0.3z + -0.3z = 150 + 3x + -0.2y + -0.3z

Combine like terms: 0.3z + -0.3z = 0.0
1.7X + 0.0 = 150 + 3x + -0.2y + -0.3z
1.7X = 150 + 3x + -0.2y + -0.3z

Divide each side by '1.7'.
X = 88.23529412 + 1.764705882x + -0.1176470588y + -0.1764705882z

Simplifying
X = 88.23529412 + 1.764705882x + -0.1176470588y + -0.1764705882z

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