1.7X+3.2y+3.3z-(x+y+z)=50

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Solution for 1.7X+3.2y+3.3z-(x+y+z)=50 equation: 


Simplifying
1.7X + 3.2y + 3.3z + -1(x + y + z) = 50
1.7X + 3.2y + 3.3z + (x * -1 + y * -1 + z * -1) = 50
1.7X + 3.2y + 3.3z + (-1x + -1y + -1z) = 50

Reorder the terms:
1.7X + -1x + 3.2y + -1y + 3.3z + -1z = 50

Combine like terms: 3.2y + -1y = 2.2y
1.7X + -1x + 2.2y + 3.3z + -1z = 50

Combine like terms: 3.3z + -1z = 2.3z
1.7X + -1x + 2.2y + 2.3z = 50

Solving
1.7X + -1x + 2.2y + 2.3z = 50

Solving for variable 'X'.

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

Add 'x' to each side of the equation.
1.7X + -1x + 2.2y + x + 2.3z = 50 + x

Reorder the terms:
1.7X + -1x + x + 2.2y + 2.3z = 50 + x

Combine like terms: -1x + x = 0
1.7X + 0 + 2.2y + 2.3z = 50 + x
1.7X + 2.2y + 2.3z = 50 + x

Add '-2.2y' to each side of the equation.
1.7X + 2.2y + -2.2y + 2.3z = 50 + x + -2.2y

Combine like terms: 2.2y + -2.2y = 0.0
1.7X + 0.0 + 2.3z = 50 + x + -2.2y
1.7X + 2.3z = 50 + x + -2.2y

Add '-2.3z' to each side of the equation.
1.7X + 2.3z + -2.3z = 50 + x + -2.2y + -2.3z

Combine like terms: 2.3z + -2.3z = 0.0
1.7X + 0.0 = 50 + x + -2.2y + -2.3z
1.7X = 50 + x + -2.2y + -2.3z

Divide each side by '1.7'.
X = 29.41176471 + 0.5882352941x + -1.294117647y + -1.352941176z

Simplifying
X = 29.41176471 + 0.5882352941x + -1.294117647y + -1.352941176z

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