3x-5y+2z=22-5x-3y+4z

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Solution for 3x-5y+2z=22-5x-3y+4z equation:


Simplifying
3x + -5y + 2z = 22 + -5x + -3y + 4z

Solving
3x + -5y + 2z = 22 + -5x + -3y + 4z

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3x + -5y + 5x + 2z = 22 + -5x + -3y + 5x + 4z

Reorder the terms:
3x + 5x + -5y + 2z = 22 + -5x + -3y + 5x + 4z

Combine like terms: 3x + 5x = 8x
8x + -5y + 2z = 22 + -5x + -3y + 5x + 4z

Reorder the terms:
8x + -5y + 2z = 22 + -5x + 5x + -3y + 4z

Combine like terms: -5x + 5x = 0
8x + -5y + 2z = 22 + 0 + -3y + 4z
8x + -5y + 2z = 22 + -3y + 4z

Add '5y' to each side of the equation.
8x + -5y + 5y + 2z = 22 + -3y + 5y + 4z

Combine like terms: -5y + 5y = 0
8x + 0 + 2z = 22 + -3y + 5y + 4z
8x + 2z = 22 + -3y + 5y + 4z

Combine like terms: -3y + 5y = 2y
8x + 2z = 22 + 2y + 4z

Add '-2z' to each side of the equation.
8x + 2z + -2z = 22 + 2y + 4z + -2z

Combine like terms: 2z + -2z = 0
8x + 0 = 22 + 2y + 4z + -2z
8x = 22 + 2y + 4z + -2z

Combine like terms: 4z + -2z = 2z
8x = 22 + 2y + 2z

Divide each side by '8'.
x = 2.75 + 0.25y + 0.25z

Simplifying
x = 2.75 + 0.25y + 0.25z

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