Question

Solve 1/x+1/x+5=1/10​

Answer 1

Step-by-step explanation:

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Answer 2

$\frac{1}{x} + \frac{1}{x} + 5 = \frac{1}{10}$

$simplifies \: to \:$

$\frac{5x + 2}{x} = \frac{1}{10}$

$lets \: solve \: your \: equation \: \\ step \: by \: step$

$\frac{5x + 2}{x} = \frac{1}{10}$

$step \: 1 \: : \: \: Cross - multiply$

$→\frac{5x + 2}{x} = \frac{1}{10}$

$→(5x + 2)(10) = 1 \times x$

$→50x + 20 = x$

$step \: 2 \: : \: Subtract \: x \: from \: both \: sides$

$→50x + 20 - x = x - x$

$→49x + 20 = 0$

$step \:3 : \: subtract \: 20 \: from \: both \: \\ sides$

$→49x + 20 - 20 = 0 - 20$

$→49x = - 20$

$step \: 4 \: : \: divide \: both \: sides \: by \: 49$

$\frac{49x}{49} = \frac{ - 20}{49}$

$x = \frac{ - 20}{49}$