-2x+y+3z=20+3x-27+3z+-9

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Solution for -2x+y+3z=20+3x-27+3z+-9 equation:


Simplifying
-2x + y + 3z = 20 + 3x + -27 + 3z + -9

Reorder the terms:
-2x + y + 3z = 20 + -27 + -9 + 3x + 3z

Combine like terms: 20 + -27 = -7
-2x + y + 3z = -7 + -9 + 3x + 3z

Combine like terms: -7 + -9 = -16
-2x + y + 3z = -16 + 3x + 3z

Add '-3z' to each side of the equation.
-2x + y + 3z + -3z = -16 + 3x + 3z + -3z

Combine like terms: 3z + -3z = 0
-2x + y + 0 = -16 + 3x + 3z + -3z
-2x + y = -16 + 3x + 3z + -3z

Combine like terms: 3z + -3z = 0
-2x + y = -16 + 3x + 0
-2x + y = -16 + 3x

Solving
-2x + y = -16 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-2x + -3x + y = -16 + 3x + -3x

Combine like terms: -2x + -3x = -5x
-5x + y = -16 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5x + y = -16 + 0
-5x + y = -16

Add '-1y' to each side of the equation.
-5x + y + -1y = -16 + -1y

Combine like terms: y + -1y = 0
-5x + 0 = -16 + -1y
-5x = -16 + -1y

Divide each side by '-5'.
x = 3.2 + 0.2y

Simplifying
x = 3.2 + 0.2y

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