(y(z-x))4-X=1-8

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Solution for (y(z-x))4-X=1-8 equation:


Simplifying
(y(z + -1x)) * 4 + -1X = 1 + -8

Reorder the terms:
(y(-1x + z)) * 4 + -1X = 1 + -8
((-1x * y + z * y)) * 4 + -1X = 1 + -8
((-1xy + yz)) * 4 + -1X = 1 + -8

Reorder the terms for easier multiplication:
4(-1xy + yz) + -1X = 1 + -8
(-1xy * 4 + yz * 4) + -1X = 1 + -8
(-4xy + 4yz) + -1X = 1 + -8

Reorder the terms:
-1X + -4xy + 4yz = 1 + -8

Combine like terms: 1 + -8 = -7
-1X + -4xy + 4yz = -7

Solving
-1X + -4xy + 4yz = -7

Solving for variable 'X'.

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

Add '4xy' to each side of the equation.
-1X + -4xy + 4xy + 4yz = -7 + 4xy

Combine like terms: -4xy + 4xy = 0
-1X + 0 + 4yz = -7 + 4xy
-1X + 4yz = -7 + 4xy

Add '-4yz' to each side of the equation.
-1X + 4yz + -4yz = -7 + 4xy + -4yz

Combine like terms: 4yz + -4yz = 0
-1X + 0 = -7 + 4xy + -4yz
-1X = -7 + 4xy + -4yz

Divide each side by '-1'.
X = 7 + -4xy + 4yz

Simplifying
X = 7 + -4xy + 4yz

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