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

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


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

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

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

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

Combine like terms: 7z + 4z = 11z
4x + -2y + 11z = 0

Solving
4x + -2y + 11z = 0

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.
4x + -2y + 2y + 11z = 0 + 2y

Combine like terms: -2y + 2y = 0
4x + 0 + 11z = 0 + 2y
4x + 11z = 0 + 2y
Remove the zero:
4x + 11z = 2y

Add '-11z' to each side of the equation.
4x + 11z + -11z = 2y + -11z

Combine like terms: 11z + -11z = 0
4x + 0 = 2y + -11z
4x = 2y + -11z

Divide each side by '4'.
x = 0.5y + -2.75z

Simplifying
x = 0.5y + -2.75z

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