3x+2y+3z=2(13z-7x)

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Solution for 3x+2y+3z=2(13z-7x) equation:


Simplifying
3x + 2y + 3z = 2(13z + -7x)

Reorder the terms:
3x + 2y + 3z = 2(-7x + 13z)
3x + 2y + 3z = (-7x * 2 + 13z * 2)
3x + 2y + 3z = (-14x + 26z)

Solving
3x + 2y + 3z = -14x + 26z

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
3x + 2y + 14x + 3z = -14x + 14x + 26z

Reorder the terms:
3x + 14x + 2y + 3z = -14x + 14x + 26z

Combine like terms: 3x + 14x = 17x
17x + 2y + 3z = -14x + 14x + 26z

Combine like terms: -14x + 14x = 0
17x + 2y + 3z = 0 + 26z
17x + 2y + 3z = 26z

Add '-2y' to each side of the equation.
17x + 2y + -2y + 3z = -2y + 26z

Combine like terms: 2y + -2y = 0
17x + 0 + 3z = -2y + 26z
17x + 3z = -2y + 26z

Add '-3z' to each side of the equation.
17x + 3z + -3z = -2y + 26z + -3z

Combine like terms: 3z + -3z = 0
17x + 0 = -2y + 26z + -3z
17x = -2y + 26z + -3z

Combine like terms: 26z + -3z = 23z
17x = -2y + 23z

Divide each side by '17'.
x = -0.1176470588y + 1.352941176z

Simplifying
x = -0.1176470588y + 1.352941176z

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