488(39x-88)=31(25x-315)

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Solution for 488(39x-88)=31(25x-315) equation:


Simplifying
488(39x + -88) = 31(25x + -315)

Reorder the terms:
488(-88 + 39x) = 31(25x + -315)
(-88 * 488 + 39x * 488) = 31(25x + -315)
(-42944 + 19032x) = 31(25x + -315)

Reorder the terms:
-42944 + 19032x = 31(-315 + 25x)
-42944 + 19032x = (-315 * 31 + 25x * 31)
-42944 + 19032x = (-9765 + 775x)

Solving
-42944 + 19032x = -9765 + 775x

Solving for variable 'x'.

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

Add '-775x' to each side of the equation.
-42944 + 19032x + -775x = -9765 + 775x + -775x

Combine like terms: 19032x + -775x = 18257x
-42944 + 18257x = -9765 + 775x + -775x

Combine like terms: 775x + -775x = 0
-42944 + 18257x = -9765 + 0
-42944 + 18257x = -9765

Add '42944' to each side of the equation.
-42944 + 42944 + 18257x = -9765 + 42944

Combine like terms: -42944 + 42944 = 0
0 + 18257x = -9765 + 42944
18257x = -9765 + 42944

Combine like terms: -9765 + 42944 = 33179
18257x = 33179

Divide each side by '18257'.
x = 1.817330339

Simplifying
x = 1.817330339

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