7X+10Y-4X+13Z-5Y-6Z=

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Solution for 7X+10Y-4X+13Z-5Y-6Z= equation: 


Simplifying
7X + 10Y + -4X + 13Z + -5Y + -6Z = 0

Reorder the terms:
7X + -4X + 10Y + -5Y + 13Z + -6Z = 0

Combine like terms: 7X + -4X = 3X
3X + 10Y + -5Y + 13Z + -6Z = 0

Combine like terms: 10Y + -5Y = 5Y
3X + 5Y + 13Z + -6Z = 0

Combine like terms: 13Z + -6Z = 7Z
3X + 5Y + 7Z = 0

Solving
3X + 5Y + 7Z = 0

Solving for variable 'X'.

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

Add '-5Y' to each side of the equation.
3X + 5Y + -5Y + 7Z = 0 + -5Y

Combine like terms: 5Y + -5Y = 0
3X + 0 + 7Z = 0 + -5Y
3X + 7Z = 0 + -5Y
Remove the zero:
3X + 7Z = -5Y

Add '-7Z' to each side of the equation.
3X + 7Z + -7Z = -5Y + -7Z

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

Divide each side by '3'.
X = -1.666666667Y + -2.333333333Z

Simplifying
X = -1.666666667Y + -2.333333333Z

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