479(38x-97)=32(26x-307)

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Solution for 479(38x-97)=32(26x-307) equation:


Simplifying
479(38x + -97) = 32(26x + -307)

Reorder the terms:
479(-97 + 38x) = 32(26x + -307)
(-97 * 479 + 38x * 479) = 32(26x + -307)
(-46463 + 18202x) = 32(26x + -307)

Reorder the terms:
-46463 + 18202x = 32(-307 + 26x)
-46463 + 18202x = (-307 * 32 + 26x * 32)
-46463 + 18202x = (-9824 + 832x)

Solving
-46463 + 18202x = -9824 + 832x

Solving for variable 'x'.

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

Add '-832x' to each side of the equation.
-46463 + 18202x + -832x = -9824 + 832x + -832x

Combine like terms: 18202x + -832x = 17370x
-46463 + 17370x = -9824 + 832x + -832x

Combine like terms: 832x + -832x = 0
-46463 + 17370x = -9824 + 0
-46463 + 17370x = -9824

Add '46463' to each side of the equation.
-46463 + 46463 + 17370x = -9824 + 46463

Combine like terms: -46463 + 46463 = 0
0 + 17370x = -9824 + 46463
17370x = -9824 + 46463

Combine like terms: -9824 + 46463 = 36639
17370x = 36639

Divide each side by '17370'.
x = 2.109326425

Simplifying
x = 2.109326425

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