548(38x-92)=31(25x-320)

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Solution for 548(38x-92)=31(25x-320) equation:


Simplifying
548(38x + -92) = 31(25x + -320)

Reorder the terms:
548(-92 + 38x) = 31(25x + -320)
(-92 * 548 + 38x * 548) = 31(25x + -320)
(-50416 + 20824x) = 31(25x + -320)

Reorder the terms:
-50416 + 20824x = 31(-320 + 25x)
-50416 + 20824x = (-320 * 31 + 25x * 31)
-50416 + 20824x = (-9920 + 775x)

Solving
-50416 + 20824x = -9920 + 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.
-50416 + 20824x + -775x = -9920 + 775x + -775x

Combine like terms: 20824x + -775x = 20049x
-50416 + 20049x = -9920 + 775x + -775x

Combine like terms: 775x + -775x = 0
-50416 + 20049x = -9920 + 0
-50416 + 20049x = -9920

Add '50416' to each side of the equation.
-50416 + 50416 + 20049x = -9920 + 50416

Combine like terms: -50416 + 50416 = 0
0 + 20049x = -9920 + 50416
20049x = -9920 + 50416

Combine like terms: -9920 + 50416 = 40496
20049x = 40496

Divide each side by '20049'.
x = 2.019851364

Simplifying
x = 2.019851364

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