6x+3y+6z-2x+3z-7y=

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Solution for 6x+3y+6z-2x+3z-7y= equation:


Simplifying
6x + 3y + 6z + -2x + 3z + -7y = 0

Reorder the terms:
6x + -2x + 3y + -7y + 6z + 3z = 0

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

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

Combine like terms: 6z + 3z = 9z
4x + -4y + 9z = 0

Solving
4x + -4y + 9z = 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.
4x + -4y + 4y + 9z = 0 + 4y

Combine like terms: -4y + 4y = 0
4x + 0 + 9z = 0 + 4y
4x + 9z = 0 + 4y
Remove the zero:
4x + 9z = 4y

Add '-9z' to each side of the equation.
4x + 9z + -9z = 4y + -9z

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

Divide each side by '4'.
x = y + -2.25z

Simplifying
x = y + -2.25z

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