50*x+120*(92-x)=8320

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Solution for 50*x+120*(92-x)=8320 equation: 


Simplifying
50x + 120(92 + -1x) = 8320
50x + (92 * 120 + -1x * 120) = 8320
50x + (11040 + -120x) = 8320

Reorder the terms:
11040 + 50x + -120x = 8320

Combine like terms: 50x + -120x = -70x
11040 + -70x = 8320

Solving
11040 + -70x = 8320

Solving for variable 'x'.

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

Add '-11040' to each side of the equation.
11040 + -11040 + -70x = 8320 + -11040

Combine like terms: 11040 + -11040 = 0
0 + -70x = 8320 + -11040
-70x = 8320 + -11040

Combine like terms: 8320 + -11040 = -2720
-70x = -2720

Divide each side by '-70'.
x = 38.85714286

Simplifying
x = 38.85714286

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