(209.2)(80-x)=(83.68)(x-10)

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Solution for (209.2)(80-x)=(83.68)(x-10) equation:


Simplifying
(209.2)(80 + -1x) = (83.68)(x + -10)
(80 * 209.2 + -1x * 209.2) = (83.68)(x + -10)
(16736 + -209.2x) = (83.68)(x + -10)

Reorder the terms:
16736 + -209.2x = 83.68(-10 + x)
16736 + -209.2x = (-10 * 83.68 + x * 83.68)
16736 + -209.2x = (-836.8 + 83.68x)

Solving
16736 + -209.2x = -836.8 + 83.68x

Solving for variable 'x'.

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

Add '-83.68x' to each side of the equation.
16736 + -209.2x + -83.68x = -836.8 + 83.68x + -83.68x

Combine like terms: -209.2x + -83.68x = -292.88x
16736 + -292.88x = -836.8 + 83.68x + -83.68x

Combine like terms: 83.68x + -83.68x = 0.00
16736 + -292.88x = -836.8 + 0.00
16736 + -292.88x = -836.8

Add '-16736' to each side of the equation.
16736 + -16736 + -292.88x = -836.8 + -16736

Combine like terms: 16736 + -16736 = 0
0 + -292.88x = -836.8 + -16736
-292.88x = -836.8 + -16736

Combine like terms: -836.8 + -16736 = -17572.8
-292.88x = -17572.8

Divide each side by '-292.88'.
x = 60

Simplifying
x = 60

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