13X+17Y+23Z=21Y+31X

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Solution for 13X+17Y+23Z=21Y+31X equation: 


Simplifying
13X + 17Y + 23Z = 21Y + 31X

Reorder the terms:
13X + 17Y + 23Z = 31X + 21Y

Solving
13X + 17Y + 23Z = 31X + 21Y

Solving for variable 'X'.

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

Add '-31X' to each side of the equation.
13X + 17Y + -31X + 23Z = 31X + -31X + 21Y

Reorder the terms:
13X + -31X + 17Y + 23Z = 31X + -31X + 21Y

Combine like terms: 13X + -31X = -18X
-18X + 17Y + 23Z = 31X + -31X + 21Y

Combine like terms: 31X + -31X = 0
-18X + 17Y + 23Z = 0 + 21Y
-18X + 17Y + 23Z = 21Y

Add '-17Y' to each side of the equation.
-18X + 17Y + -17Y + 23Z = 21Y + -17Y

Combine like terms: 17Y + -17Y = 0
-18X + 0 + 23Z = 21Y + -17Y
-18X + 23Z = 21Y + -17Y

Combine like terms: 21Y + -17Y = 4Y
-18X + 23Z = 4Y

Add '-23Z' to each side of the equation.
-18X + 23Z + -23Z = 4Y + -23Z

Combine like terms: 23Z + -23Z = 0
-18X + 0 = 4Y + -23Z
-18X = 4Y + -23Z

Divide each side by '-18'.
X = -0.2222222222Y + 1.277777778Z

Simplifying
X = -0.2222222222Y + 1.277777778Z

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