The solution of the equation x+55x+8 = 1138 is __

Question

The solution of the equation

\frac{x + 5}{5 x + 8} = \frac{11}{38}

is
___

Answer:
:

\frac{x + 5}{5 x + 8} = \frac{11}{38}

38x + 190 = 55x + 88
55x -38x = 190 - 88
17x = 102

x = \frac{102}{17} = 6

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