(2x+4y+2-8)+(8x-3y-2+9)+(-3x+y-2z-2)=

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Solution for (2x+4y+2-8)+(8x-3y-2+9)+(-3x+y-2z-2)= equation:


Simplifying
(2x + 4y + 2 + -8) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0

Reorder the terms:
(2 + -8 + 2x + 4y) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0

Combine like terms: 2 + -8 = -6
(-6 + 2x + 4y) + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0

Remove parenthesis around (-6 + 2x + 4y)
-6 + 2x + 4y + (8x + -3y + -2 + 9) + (-3x + y + -2z + -2) = 0

Reorder the terms:
-6 + 2x + 4y + (-2 + 9 + 8x + -3y) + (-3x + y + -2z + -2) = 0

Combine like terms: -2 + 9 = 7
-6 + 2x + 4y + (7 + 8x + -3y) + (-3x + y + -2z + -2) = 0

Remove parenthesis around (7 + 8x + -3y)
-6 + 2x + 4y + 7 + 8x + -3y + (-3x + y + -2z + -2) = 0

Reorder the terms:
-6 + 2x + 4y + 7 + 8x + -3y + (-2 + -3x + y + -2z) = 0

Remove parenthesis around (-2 + -3x + y + -2z)
-6 + 2x + 4y + 7 + 8x + -3y + -2 + -3x + y + -2z = 0

Reorder the terms:
-6 + 7 + -2 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0

Combine like terms: -6 + 7 = 1
1 + -2 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0

Combine like terms: 1 + -2 = -1
-1 + 2x + 8x + -3x + 4y + -3y + y + -2z = 0

Combine like terms: 2x + 8x = 10x
-1 + 10x + -3x + 4y + -3y + y + -2z = 0

Combine like terms: 10x + -3x = 7x
-1 + 7x + 4y + -3y + y + -2z = 0

Combine like terms: 4y + -3y = 1y
-1 + 7x + 1y + y + -2z = 0

Combine like terms: 1y + y = 2y
-1 + 7x + 2y + -2z = 0

Solving
-1 + 7x + 2y + -2z = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 7x + 2y + 1 + -2z = 0 + 1

Reorder the terms:
-1 + 1 + 7x + 2y + -2z = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7x + 2y + -2z = 0 + 1
7x + 2y + -2z = 0 + 1

Combine like terms: 0 + 1 = 1
7x + 2y + -2z = 1

Add '-2y' to each side of the equation.
7x + 2y + -2y + -2z = 1 + -2y

Combine like terms: 2y + -2y = 0
7x + 0 + -2z = 1 + -2y
7x + -2z = 1 + -2y

Add '2z' to each side of the equation.
7x + -2z + 2z = 1 + -2y + 2z

Combine like terms: -2z + 2z = 0
7x + 0 = 1 + -2y + 2z
7x = 1 + -2y + 2z

Divide each side by '7'.
x = 0.1428571429 + -0.2857142857y + 0.2857142857z

Simplifying
x = 0.1428571429 + -0.2857142857y + 0.2857142857z

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