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

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


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

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

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

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

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

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

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

Combine like terms: -5y + -4y = -9y
5x + 7z = -9y + 5z

Add '-7z' to each side of the equation.
5x + 7z + -7z = -9y + 5z + -7z

Combine like terms: 7z + -7z = 0
5x + 0 = -9y + 5z + -7z
5x = -9y + 5z + -7z

Combine like terms: 5z + -7z = -2z
5x = -9y + -2z

Divide each side by '5'.
x = -1.8y + -0.4z

Simplifying
x = -1.8y + -0.4z

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