7X+3Y+5Z-4X+2Z-5Y=

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Solution for 7X+3Y+5Z-4X+2Z-5Y= equation: 


Simplifying
7X + 3Y + 5Z + -4X + 2Z + -5Y = 0

Reorder the terms:
7X + -4X + 3Y + -5Y + 5Z + 2Z = 0

Combine like terms: 7X + -4X = 3X
3X + 3Y + -5Y + 5Z + 2Z = 0

Combine like terms: 3Y + -5Y = -2Y
3X + -2Y + 5Z + 2Z = 0

Combine like terms: 5Z + 2Z = 7Z
3X + -2Y + 7Z = 0

Solving
3X + -2Y + 7Z = 0

Solving for variable 'X'.

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

Add '2Y' to each side of the equation.
3X + -2Y + 2Y + 7Z = 0 + 2Y

Combine like terms: -2Y + 2Y = 0
3X + 0 + 7Z = 0 + 2Y
3X + 7Z = 0 + 2Y
Remove the zero:
3X + 7Z = 2Y

Add '-7Z' to each side of the equation.
3X + 7Z + -7Z = 2Y + -7Z

Combine like terms: 7Z + -7Z = 0
3X + 0 = 2Y + -7Z
3X = 2Y + -7Z

Divide each side by '3'.
X = 0.6666666667Y + -2.333333333Z

Simplifying
X = 0.6666666667Y + -2.333333333Z

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