x-y+z=5

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Solution for x-y+z=5 equation:


Simplifying
x + -1y + z = 5

Solving
x + -1y + z = 5

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
x + -1y + y + z = 5 + y

Combine like terms: -1y + y = 0
x + 0 + z = 5 + y
x + z = 5 + y

Add '-1z' to each side of the equation.
x + z + -1z = 5 + y + -1z

Combine like terms: z + -1z = 0
x + 0 = 5 + y + -1z
x = 5 + y + -1z

Simplifying
x = 5 + y + -1z

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