(5x+6y-3z)=(3x-8y+z)

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Solution for (5x+6y-3z)=(3x-8y+z) equation:


Simplifying
(5x + 6y + -3z) = (3x + -8y + z)

Remove parenthesis around (5x + 6y + -3z)
5x + 6y + -3z = (3x + -8y + z)

Remove parenthesis around (3x + -8y + z)
5x + 6y + -3z = 3x + -8y + z

Solving
5x + 6y + -3z = 3x + -8y + z

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5x + 6y + -3x + -3z = 3x + -8y + -3x + z

Reorder the terms:
5x + -3x + 6y + -3z = 3x + -8y + -3x + z

Combine like terms: 5x + -3x = 2x
2x + 6y + -3z = 3x + -8y + -3x + z

Reorder the terms:
2x + 6y + -3z = 3x + -3x + -8y + z

Combine like terms: 3x + -3x = 0
2x + 6y + -3z = 0 + -8y + z
2x + 6y + -3z = -8y + z

Add '-6y' to each side of the equation.
2x + 6y + -6y + -3z = -8y + -6y + z

Combine like terms: 6y + -6y = 0
2x + 0 + -3z = -8y + -6y + z
2x + -3z = -8y + -6y + z

Combine like terms: -8y + -6y = -14y
2x + -3z = -14y + z

Add '3z' to each side of the equation.
2x + -3z + 3z = -14y + z + 3z

Combine like terms: -3z + 3z = 0
2x + 0 = -14y + z + 3z
2x = -14y + z + 3z

Combine like terms: z + 3z = 4z
2x = -14y + 4z

Divide each side by '2'.
x = -7y + 2z

Simplifying
x = -7y + 2z

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