(w)(w-5)-w-22=(w+x)(w-5)

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Solution for (w)(w-5)-w-22=(w+x)(w-5) equation: 


Simplifying
(w)(w + -5) + -1w + -22 = (w + x)(w + -5)

Reorder the terms:
w(-5 + w) + -1w + -22 = (w + x)(w + -5)
(-5 * w + w * w) + -1w + -22 = (w + x)(w + -5)
(-5w + w2) + -1w + -22 = (w + x)(w + -5)

Reorder the terms:
-22 + -5w + -1w + w2 = (w + x)(w + -5)

Combine like terms: -5w + -1w = -6w
-22 + -6w + w2 = (w + x)(w + -5)

Reorder the terms:
-22 + -6w + w2 = (w + x)(-5 + w)

Multiply (w + x) * (-5 + w)
-22 + -6w + w2 = (w(-5 + w) + x(-5 + w))
-22 + -6w + w2 = ((-5 * w + w * w) + x(-5 + w))
-22 + -6w + w2 = ((-5w + w2) + x(-5 + w))
-22 + -6w + w2 = (-5w + w2 + (-5 * x + w * x))

Reorder the terms:
-22 + -6w + w2 = (-5w + w2 + (wx + -5x))
-22 + -6w + w2 = (-5w + w2 + (wx + -5x))

Reorder the terms:
-22 + -6w + w2 = (-5w + wx + w2 + -5x)
-22 + -6w + w2 = (-5w + wx + w2 + -5x)

Add '-1w2' to each side of the equation.
-22 + -6w + w2 + -1w2 = -5w + wx + w2 + -1w2 + -5x

Combine like terms: w2 + -1w2 = 0
-22 + -6w + 0 = -5w + wx + w2 + -1w2 + -5x
-22 + -6w = -5w + wx + w2 + -1w2 + -5x

Combine like terms: w2 + -1w2 = 0
-22 + -6w = -5w + wx + 0 + -5x
-22 + -6w = -5w + wx + -5x

Solving
-22 + -6w = -5w + wx + -5x

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-22 + -6w + 5w = -5w + wx + 5w + -5x

Combine like terms: -6w + 5w = -1w
-22 + -1w = -5w + wx + 5w + -5x

Reorder the terms:
-22 + -1w = -5w + 5w + wx + -5x

Combine like terms: -5w + 5w = 0
-22 + -1w = 0 + wx + -5x
-22 + -1w = wx + -5x

Add '-1wx' to each side of the equation.
-22 + -1w + -1wx = wx + -1wx + -5x

Combine like terms: wx + -1wx = 0
-22 + -1w + -1wx = 0 + -5x
-22 + -1w + -1wx = -5x

Add '22' to each side of the equation.
-22 + -1w + 22 + -1wx = 22 + -5x

Reorder the terms:
-22 + 22 + -1w + -1wx = 22 + -5x

Combine like terms: -22 + 22 = 0
0 + -1w + -1wx = 22 + -5x
-1w + -1wx = 22 + -5x

Reorder the terms:
-22 + -1w + -1wx + 5x = 22 + -5x + -22 + 5x

Reorder the terms:
-22 + -1w + -1wx + 5x = 22 + -22 + -5x + 5x

Combine like terms: 22 + -22 = 0
-22 + -1w + -1wx + 5x = 0 + -5x + 5x
-22 + -1w + -1wx + 5x = -5x + 5x

Combine like terms: -5x + 5x = 0
-22 + -1w + -1wx + 5x = 0

The solution to this equation could not be determined.

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