10x+3y+4z-5x+3z-5y=

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Solution for 10x+3y+4z-5x+3z-5y= equation:


Simplifying
10x + 3y + 4z + -5x + 3z + -5y = 0

Reorder the terms:
10x + -5x + 3y + -5y + 4z + 3z = 0

Combine like terms: 10x + -5x = 5x
5x + 3y + -5y + 4z + 3z = 0

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

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

Solving
5x + -2y + 7z = 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.
5x + -2y + 2y + 7z = 0 + 2y

Combine like terms: -2y + 2y = 0
5x + 0 + 7z = 0 + 2y
5x + 7z = 0 + 2y
Remove the zero:
5x + 7z = 2y

Add '-7z' to each side of the equation.
5x + 7z + -7z = 2y + -7z

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

Divide each side by '5'.
x = 0.4y + -1.4z

Simplifying
x = 0.4y + -1.4z

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