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

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Solution for 3x+2y-5z+2x-5y+4z=0 equation:


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

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

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

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

Combine like terms: -5z + 4z = -1z
5x + -3y + -1z = 0

Solving
5x + -3y + -1z = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3y' to each side of the equation.
5x + -3y + 3y + -1z = 0 + 3y

Combine like terms: -3y + 3y = 0
5x + 0 + -1z = 0 + 3y
5x + -1z = 0 + 3y
Remove the zero:
5x + -1z = 3y

Add 'z' to each side of the equation.
5x + -1z + z = 3y + z

Combine like terms: -1z + z = 0
5x + 0 = 3y + z
5x = 3y + z

Divide each side by '5'.
x = 0.6y + 0.2z

Simplifying
x = 0.6y + 0.2z

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