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

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

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

Reorder the terms:
275(-373 + x)(0.444) = (100)(x + -295)(4.184)

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

Multiply 275 * 0.444
122.1(-373 + x) = (100)(x + -295)(4.184)
(-373 * 122.1 + x * 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 = -296.3x
-45543.3 + -296.3x = -123428 + 418.4x + -418.4x

Combine like terms: 418.4x + -418.4x = 0.0
-45543.3 + -296.3x = -123428 + 0.0
-45543.3 + -296.3x = -123428

Add '45543.3' to each side of the equation.
-45543.3 + 45543.3 + -296.3x = -123428 + 45543.3

Combine like terms: -45543.3 + 45543.3 = 0.0
0.0 + -296.3x = -123428 + 45543.3
-296.3x = -123428 + 45543.3

Combine like terms: -123428 + 45543.3 = -77884.7
-296.3x = -77884.7

Divide each side by '-296.3'.
x = 262.8575768

Simplifying
x = 262.8575768