8x+2y+8z-3x+5z-6y=

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Solution for 8x+2y+8z-3x+5z-6y= equation:


Simplifying
8x + 2y + 8z + -3x + 5z + -6y = 0

Reorder the terms:
8x + -3x + 2y + -6y + 8z + 5z = 0

Combine like terms: 8x + -3x = 5x
5x + 2y + -6y + 8z + 5z = 0

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

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

Solving
5x + -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.
5x + -4y + 4y + 13z = 0 + 4y

Combine like terms: -4y + 4y = 0
5x + 0 + 13z = 0 + 4y
5x + 13z = 0 + 4y
Remove the zero:
5x + 13z = 4y

Add '-13z' to each side of the equation.
5x + 13z + -13z = 4y + -13z

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

Divide each side by '5'.
x = 0.8y + -2.6z

Simplifying
x = 0.8y + -2.6z

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