6x+5y+8z-4x+5z-9y=

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Solution for 6x+5y+8z-4x+5z-9y= equation:


Simplifying
6x + 5y + 8z + -4x + 5z + -9y = 0

Reorder the terms:
6x + -4x + 5y + -9y + 8z + 5z = 0

Combine like terms: 6x + -4x = 2x
2x + 5y + -9y + 8z + 5z = 0

Combine like terms: 5y + -9y = -4y
2x + -4y + 8z + 5z = 0

Combine like terms: 8z + 5z = 13z
2x + -4y + 13z = 0

Solving
2x + -4y + 13z = 0

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
2x + -4y + 4y + 13z = 0 + 4y

Combine like terms: -4y + 4y = 0
2x + 0 + 13z = 0 + 4y
2x + 13z = 0 + 4y
Remove the zero:
2x + 13z = 4y

Add '-13z' to each side of the equation.
2x + 13z + -13z = 4y + -13z

Combine like terms: 13z + -13z = 0
2x + 0 = 4y + -13z
2x = 4y + -13z

Divide each side by '2'.
x = 2y + -6.5z

Simplifying
x = 2y + -6.5z

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