6x+5y+7z-4x+3z-6y=

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Solution for 6x+5y+7z-4x+3z-6y= equation:


Simplifying
6x + 5y + 7z + -4x + 3z + -6y = 0

Reorder the terms:
6x + -4x + 5y + -6y + 7z + 3z = 0

Combine like terms: 6x + -4x = 2x
2x + 5y + -6y + 7z + 3z = 0

Combine like terms: 5y + -6y = -1y
2x + -1y + 7z + 3z = 0

Combine like terms: 7z + 3z = 10z
2x + -1y + 10z = 0

Solving
2x + -1y + 10z = 0

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
2x + -1y + y + 10z = 0 + y

Combine like terms: -1y + y = 0
2x + 0 + 10z = 0 + y
2x + 10z = 0 + y
Remove the zero:
2x + 10z = y

Add '-10z' to each side of the equation.
2x + 10z + -10z = y + -10z

Combine like terms: 10z + -10z = 0
2x + 0 = y + -10z
2x = y + -10z

Divide each side by '2'.
x = 0.5y + -5z

Simplifying
x = 0.5y + -5z

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