How do you solve for x: $\frac{5}{x} - 3 = 12$ $5/x - 3 = 12$ ?

Question

1321 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-09-01T07:00:53

$x = \frac{1}{3}$ $x=1/3$

Given -

$\frac{5}{x} - 3 = 12$ $5/x-3=12$

Multiply both sides by $x$ $x$

$(\frac{5}{x} - 3) \times x = 12 \times x$ $(5/x-3)xx x=12 xx x$

$5 - 3 x = 12 x$ $5-3x=12x$

Add $- 5$ $-5$ on both sides

$cancel5-3xcancel(-5)=12x-5$
$-3x=12x-5$

Add $-12x$ on both sides

$-3x-12x=cancel(12x)-5cancel(-12x)$

$-15x=-5$

Divide Both sides by $-15$

$(cancel(-15)x)/cancel(-15)=(-5)/(-15)$

$x=1/3$

How do you solve for x: 5/x - 3 = 125x−3=125/x - 3 = 12?