(32.41)(80-x)=(209.2)(x-25)

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Solution for (32.41)(80-x)=(209.2)(x-25) equation: 


Simplifying
(32.41)(80 + -1x) = (209.2)(x + -25)
(80 * 32.41 + -1x * 32.41) = (209.2)(x + -25)
(2592.8 + -32.41x) = (209.2)(x + -25)

Reorder the terms:
2592.8 + -32.41x = 209.2(-25 + x)
2592.8 + -32.41x = (-25 * 209.2 + x * 209.2)
2592.8 + -32.41x = (-5230 + 209.2x)

Solving
2592.8 + -32.41x = -5230 + 209.2x

Solving for variable 'x'.

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

Add '-209.2x' to each side of the equation.
2592.8 + -32.41x + -209.2x = -5230 + 209.2x + -209.2x

Combine like terms: -32.41x + -209.2x = -241.61x
2592.8 + -241.61x = -5230 + 209.2x + -209.2x

Combine like terms: 209.2x + -209.2x = 0.0
2592.8 + -241.61x = -5230 + 0.0
2592.8 + -241.61x = -5230

Add '-2592.8' to each side of the equation.
2592.8 + -2592.8 + -241.61x = -5230 + -2592.8

Combine like terms: 2592.8 + -2592.8 = 0.0
0.0 + -241.61x = -5230 + -2592.8
-241.61x = -5230 + -2592.8

Combine like terms: -5230 + -2592.8 = -7822.8
-241.61x = -7822.8

Divide each side by '-241.61'.
x = 32.37779893

Simplifying
x = 32.37779893

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