# (275)(.444)(x-100)=(100)(4.184)(x-22)

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## Solution for (275)(.444)(x-100)=(100)(4.184)(x-22) equation:

Simplifying
(275)(0.444)(x + -100) = (100)(4.184)(x + -22)
Reorder the terms:
275 * 0.444(-100 + x) = (100)(4.184)(x + -22)
Multiply 275 * 0.444
122.1(-100 + x) = (100)(4.184)(x + -22)
(-100 * 122.1 + x * 122.1) = (100)(4.184)(x + -22)
(-12210 + 122.1x) = (100)(4.184)(x + -22)
Reorder the terms:
-12210 + 122.1x = 100 * 4.184(-22 + x)
Multiply 100 * 4.184
-12210 + 122.1x = 418.4(-22 + x)
-12210 + 122.1x = (-22 * 418.4 + x * 418.4)
-12210 + 122.1x = (-9204.8 + 418.4x)
Solving
-12210 + 122.1x = -9204.8 + 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.
-12210 + 122.1x + -418.4x = -9204.8 + 418.4x + -418.4x
Combine like terms: 122.1x + -418.4x = -296.3x
-12210 + -296.3x = -9204.8 + 418.4x + -418.4x
Combine like terms: 418.4x + -418.4x = 0.0
-12210 + -296.3x = -9204.8 + 0.0
-12210 + -296.3x = -9204.8
Add '12210' to each side of the equation.
-12210 + 12210 + -296.3x = -9204.8 + 12210
Combine like terms: -12210 + 12210 = 0
0 + -296.3x = -9204.8 + 12210
-296.3x = -9204.8 + 12210
Combine like terms: -9204.8 + 12210 = 3005.2
-296.3x = 3005.2
Divide each side by '-296.3'.
x = -10.14242322
Simplifying
x = -10.14242322`