2x-3y+z=5

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Solution for 2x-3y+z=5 equation:


Simplifying
2x + -3y + z = 5

Solving
2x + -3y + z = 5

Solving for variable 'x'.

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

Add '3y' to each side of the equation.
2x + -3y + 3y + z = 5 + 3y

Combine like terms: -3y + 3y = 0
2x + 0 + z = 5 + 3y
2x + z = 5 + 3y

Add '-1z' to each side of the equation.
2x + z + -1z = 5 + 3y + -1z

Combine like terms: z + -1z = 0
2x + 0 = 5 + 3y + -1z
2x = 5 + 3y + -1z

Divide each side by '2'.
x = 2.5 + 1.5y + -0.5z

Simplifying
x = 2.5 + 1.5y + -0.5z

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