x+2y=8-z

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Solution for x+2y=8-z equation: 


Simplifying
x + 2y = 8 + -1z

Solving
x + 2y = 8 + -1z

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.
x + 2y + -2y = 8 + -2y + -1z

Combine like terms: 2y + -2y = 0
x + 0 = 8 + -2y + -1z
x = 8 + -2y + -1z

Simplifying
x = 8 + -2y + -1z

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