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

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


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

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

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

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

Combine like terms: 6z + 5z = 11z
3x + -2y + 11z = 0

Solving
3x + -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.
3x + -2y + 2y + 11z = 0 + 2y

Combine like terms: -2y + 2y = 0
3x + 0 + 11z = 0 + 2y
3x + 11z = 0 + 2y
Remove the zero:
3x + 11z = 2y

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

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

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

Simplifying
x = 0.6666666667y + -3.666666667z

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