x+2y+3z=z-y-30x

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Solution for x+2y+3z=z-y-30x equation:


Simplifying
x + 2y + 3z = z + -1y + -30x

Reorder the terms:
x + 2y + 3z = -30x + -1y + z

Solving
x + 2y + 3z = -30x + -1y + z

Solving for variable 'x'.

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

Add '30x' to each side of the equation.
x + 2y + 30x + 3z = -30x + -1y + 30x + z

Reorder the terms:
x + 30x + 2y + 3z = -30x + -1y + 30x + z

Combine like terms: x + 30x = 31x
31x + 2y + 3z = -30x + -1y + 30x + z

Reorder the terms:
31x + 2y + 3z = -30x + 30x + -1y + z

Combine like terms: -30x + 30x = 0
31x + 2y + 3z = 0 + -1y + z
31x + 2y + 3z = -1y + z

Add '-2y' to each side of the equation.
31x + 2y + -2y + 3z = -1y + -2y + z

Combine like terms: 2y + -2y = 0
31x + 0 + 3z = -1y + -2y + z
31x + 3z = -1y + -2y + z

Combine like terms: -1y + -2y = -3y
31x + 3z = -3y + z

Add '-3z' to each side of the equation.
31x + 3z + -3z = -3y + z + -3z

Combine like terms: 3z + -3z = 0
31x + 0 = -3y + z + -3z
31x = -3y + z + -3z

Combine like terms: z + -3z = -2z
31x = -3y + -2z

Divide each side by '31'.
x = -0.09677419355y + -0.06451612903z

Simplifying
x = -0.09677419355y + -0.06451612903z

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