7x+2y+7z-3x+5z-4y=

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Solution for 7x+2y+7z-3x+5z-4y= equation: 


Simplifying
7x + 2y + 7z + -3x + 5z + -4y = 0

Reorder the terms:
7x + -3x + 2y + -4y + 7z + 5z = 0

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

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

Combine like terms: 7z + 5z = 12z
4x + -2y + 12z = 0

Solving
4x + -2y + 12z = 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 + 12z = 0 + 2y

Combine like terms: -2y + 2y = 0
4x + 0 + 12z = 0 + 2y
4x + 12z = 0 + 2y
Remove the zero:
4x + 12z = 2y

Add '-12z' to each side of the equation.
4x + 12z + -12z = 2y + -12z

Combine like terms: 12z + -12z = 0
4x + 0 = 2y + -12z
4x = 2y + -12z

Divide each side by '4'.
x = 0.5y + -3z

Simplifying
x = 0.5y + -3z

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