487(36x-98)=30(27x-334)

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Solution for 487(36x-98)=30(27x-334) equation:


Simplifying
487(36x + -98) = 30(27x + -334)

Reorder the terms:
487(-98 + 36x) = 30(27x + -334)
(-98 * 487 + 36x * 487) = 30(27x + -334)
(-47726 + 17532x) = 30(27x + -334)

Reorder the terms:
-47726 + 17532x = 30(-334 + 27x)
-47726 + 17532x = (-334 * 30 + 27x * 30)
-47726 + 17532x = (-10020 + 810x)

Solving
-47726 + 17532x = -10020 + 810x

Solving for variable 'x'.

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

Add '-810x' to each side of the equation.
-47726 + 17532x + -810x = -10020 + 810x + -810x

Combine like terms: 17532x + -810x = 16722x
-47726 + 16722x = -10020 + 810x + -810x

Combine like terms: 810x + -810x = 0
-47726 + 16722x = -10020 + 0
-47726 + 16722x = -10020

Add '47726' to each side of the equation.
-47726 + 47726 + 16722x = -10020 + 47726

Combine like terms: -47726 + 47726 = 0
0 + 16722x = -10020 + 47726
16722x = -10020 + 47726

Combine like terms: -10020 + 47726 = 37706
16722x = 37706

Divide each side by '16722'.
x = 2.254873819

Simplifying
x = 2.254873819

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