(.45)(40.1)(x-652)=(4.184)(328)(x-32.4)

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Solution for (.45)(40.1)(x-652)=(4.184)(328)(x-32.4) equation: 


Simplifying
(0.45)(40.1)(x + -652) = (4.184)(328)(x + -32.4)

Reorder the terms:
0.45 * 40.1(-652 + x) = (4.184)(328)(x + -32.4)

Multiply 0.45 * 40.1
18.045(-652 + x) = (4.184)(328)(x + -32.4)
(-652 * 18.045 + x * 18.045) = (4.184)(328)(x + -32.4)
(-11765.34 + 18.045x) = (4.184)(328)(x + -32.4)

Reorder the terms:
-11765.34 + 18.045x = 4.184 * 328(-32.4 + x)

Multiply 4.184 * 328
-11765.34 + 18.045x = 1372.352(-32.4 + x)
-11765.34 + 18.045x = (-32.4 * 1372.352 + x * 1372.352)
-11765.34 + 18.045x = (-44464.2048 + 1372.352x)

Solving
-11765.34 + 18.045x = -44464.2048 + 1372.352x

Solving for variable 'x'.

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

Add '-1372.352x' to each side of the equation.
-11765.34 + 18.045x + -1372.352x = -44464.2048 + 1372.352x + -1372.352x

Combine like terms: 18.045x + -1372.352x = -1354.307x
-11765.34 + -1354.307x = -44464.2048 + 1372.352x + -1372.352x

Combine like terms: 1372.352x + -1372.352x = 0.000
-11765.34 + -1354.307x = -44464.2048 + 0.000
-11765.34 + -1354.307x = -44464.2048

Add '11765.34' to each side of the equation.
-11765.34 + 11765.34 + -1354.307x = -44464.2048 + 11765.34

Combine like terms: -11765.34 + 11765.34 = 0.00
0.00 + -1354.307x = -44464.2048 + 11765.34
-1354.307x = -44464.2048 + 11765.34

Combine like terms: -44464.2048 + 11765.34 = -32698.8648
-1354.307x = -32698.8648

Divide each side by '-1354.307'.
x = 24.14435191

Simplifying
x = 24.14435191

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