5x-2y+5z=10y-6z-2

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Solution for 5x-2y+5z=10y-6z-2 equation:


Simplifying
5x + -2y + 5z = 10y + -6z + -2

Reorder the terms:
5x + -2y + 5z = -2 + 10y + -6z

Solving
5x + -2y + 5z = -2 + 10y + -6z

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 + 5z = -2 + 10y + 2y + -6z

Combine like terms: -2y + 2y = 0
5x + 0 + 5z = -2 + 10y + 2y + -6z
5x + 5z = -2 + 10y + 2y + -6z

Combine like terms: 10y + 2y = 12y
5x + 5z = -2 + 12y + -6z

Add '-5z' to each side of the equation.
5x + 5z + -5z = -2 + 12y + -6z + -5z

Combine like terms: 5z + -5z = 0
5x + 0 = -2 + 12y + -6z + -5z
5x = -2 + 12y + -6z + -5z

Combine like terms: -6z + -5z = -11z
5x = -2 + 12y + -11z

Divide each side by '5'.
x = -0.4 + 2.4y + -2.2z

Simplifying
x = -0.4 + 2.4y + -2.2z

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