(275)(373-x)(.444)=(100)(x-295)(4.184)

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Solution for (275)(373-x)(.444)=(100)(x-295)(4.184) equation: 


Simplifying
(275)(373 + -1x)(0.444) = (100)(x + -295)(4.184)

Reorder the terms for easier multiplication:
275 * 0.444(373 + -1x) = (100)(x + -295)(4.184)

Multiply 275 * 0.444
122.1(373 + -1x) = (100)(x + -295)(4.184)
(373 * 122.1 + -1x * 122.1) = (100)(x + -295)(4.184)
(45543.3 + -122.1x) = (100)(x + -295)(4.184)

Reorder the terms:
45543.3 + -122.1x = 100(-295 + x)(4.184)

Reorder the terms for easier multiplication:
45543.3 + -122.1x = 100 * 4.184(-295 + x)

Multiply 100 * 4.184
45543.3 + -122.1x = 418.4(-295 + x)
45543.3 + -122.1x = (-295 * 418.4 + x * 418.4)
45543.3 + -122.1x = (-123428 + 418.4x)

Solving
45543.3 + -122.1x = -123428 + 418.4x

Solving for variable 'x'.

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

Add '-418.4x' to each side of the equation.
45543.3 + -122.1x + -418.4x = -123428 + 418.4x + -418.4x

Combine like terms: -122.1x + -418.4x = -540.5x
45543.3 + -540.5x = -123428 + 418.4x + -418.4x

Combine like terms: 418.4x + -418.4x = 0.0
45543.3 + -540.5x = -123428 + 0.0
45543.3 + -540.5x = -123428

Add '-45543.3' to each side of the equation.
45543.3 + -45543.3 + -540.5x = -123428 + -45543.3

Combine like terms: 45543.3 + -45543.3 = 0.0
0.0 + -540.5x = -123428 + -45543.3
-540.5x = -123428 + -45543.3

Combine like terms: -123428 + -45543.3 = -168971.3
-540.5x = -168971.3

Divide each side by '-540.5'.
x = 312.6203515

Simplifying
x = 312.6203515

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