2(w+y)=2xw+2x

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Solution for 2(w+y)=2xw+2x equation: 


Simplifying
2(w + y) = 2xw + 2x
(w * 2 + y * 2) = 2xw + 2x
(2w + 2y) = 2xw + 2x

Solving
2w + 2y = 2wx + 2x

Solving for variable 'w'.

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

Add '-2wx' to each side of the equation.
2w + -2wx + 2y = 2wx + -2wx + 2x

Combine like terms: 2wx + -2wx = 0
2w + -2wx + 2y = 0 + 2x
2w + -2wx + 2y = 2x

Add '-2y' to each side of the equation.
2w + -2wx + 2y + -2y = 2x + -2y

Combine like terms: 2y + -2y = 0
2w + -2wx + 0 = 2x + -2y
2w + -2wx = 2x + -2y

Reorder the terms:
2w + -2wx + -2x + 2y = 2x + -2x + -2y + 2y

Combine like terms: 2x + -2x = 0
2w + -2wx + -2x + 2y = 0 + -2y + 2y
2w + -2wx + -2x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
2w + -2wx + -2x + 2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(w + -1wx + -1x + y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(w + -1wx + -1x + y)' equal to zero and attempt to solve:

Simplifying
w + -1wx + -1x + y = 0

Solving
w + -1wx + -1x + y = 0

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

Add 'x' to each side of the equation.
w + -1wx + -1x + x + y = 0 + x

Combine like terms: -1x + x = 0
w + -1wx + 0 + y = 0 + x
w + -1wx + y = 0 + x
Remove the zero:
w + -1wx + y = x

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

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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