(2x-23)(4w-5)=180

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Solution for (2x-23)(4w-5)=180 equation: 


Simplifying
(2x + -23)(4w + -5) = 180

Reorder the terms:
(-23 + 2x)(4w + -5) = 180

Reorder the terms:
(-23 + 2x)(-5 + 4w) = 180

Multiply (-23 + 2x) * (-5 + 4w)
(-23(-5 + 4w) + 2x * (-5 + 4w)) = 180
((-5 * -23 + 4w * -23) + 2x * (-5 + 4w)) = 180
((115 + -92w) + 2x * (-5 + 4w)) = 180
(115 + -92w + (-5 * 2x + 4w * 2x)) = 180

Reorder the terms:
(115 + -92w + (8wx + -10x)) = 180
(115 + -92w + (8wx + -10x)) = 180
(115 + -92w + 8wx + -10x) = 180

Solving
115 + -92w + 8wx + -10x = 180

Solving for variable 'w'.

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

Add '-115' to each side of the equation.
115 + -92w + 8wx + -115 + -10x = 180 + -115

Reorder the terms:
115 + -115 + -92w + 8wx + -10x = 180 + -115

Combine like terms: 115 + -115 = 0
0 + -92w + 8wx + -10x = 180 + -115
-92w + 8wx + -10x = 180 + -115

Combine like terms: 180 + -115 = 65
-92w + 8wx + -10x = 65

Add '10x' to each side of the equation.
-92w + 8wx + -10x + 10x = 65 + 10x

Combine like terms: -10x + 10x = 0
-92w + 8wx + 0 = 65 + 10x
-92w + 8wx = 65 + 10x

Reorder the terms:
-65 + -92w + 8wx + -10x = 65 + 10x + -65 + -10x

Reorder the terms:
-65 + -92w + 8wx + -10x = 65 + -65 + 10x + -10x

Combine like terms: 65 + -65 = 0
-65 + -92w + 8wx + -10x = 0 + 10x + -10x
-65 + -92w + 8wx + -10x = 10x + -10x

Combine like terms: 10x + -10x = 0
-65 + -92w + 8wx + -10x = 0

The solution to this equation could not be determined.

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