9x+4y-3z-6x-6y+4z=14-3

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Solution for 9x+4y-3z-6x-6y+4z=14-3 equation: 


Simplifying
9x + 4y + -3z + -6x + -6y + 4z = 14 + -3

Reorder the terms:
9x + -6x + 4y + -6y + -3z + 4z = 14 + -3

Combine like terms: 9x + -6x = 3x
3x + 4y + -6y + -3z + 4z = 14 + -3

Combine like terms: 4y + -6y = -2y
3x + -2y + -3z + 4z = 14 + -3

Combine like terms: -3z + 4z = 1z
3x + -2y + 1z = 14 + -3

Combine like terms: 14 + -3 = 11
3x + -2y + 1z = 11

Solving
3x + -2y + 1z = 11

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 + 1z = 11 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 + 1z = 11 + 2y
3x + 1z = 11 + 2y

Add '-1z' to each side of the equation.
3x + 1z + -1z = 11 + 2y + -1z

Combine like terms: 1z + -1z = 0
3x + 0 = 11 + 2y + -1z
3x = 11 + 2y + -1z

Divide each side by '3'.
x = 3.666666667 + 0.6666666667y + -0.3333333333z

Simplifying
x = 3.666666667 + 0.6666666667y + -0.3333333333z

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