How do you solve \frac{x}{x-5}=\frac{28}{54}?

Jan 25, 2018

Answer: Use cross-multiplication to eliminate the fractions to solve for $x$

Explanation:

Solve $\frac{x}{x - 5} = \frac{28}{54}$

We can start by cross-multiplying to eliminate the fractions:
$54 x = 28 \left(x - 5\right)$

Next, we can distribute the $28$ on the right-hand side:
$54 x = 28 x - 28 \left(5\right) = 28 x - 140$

Now, we can isolate the $x$ term:
$54 x - 28 x = - 140$
$26 x = - 140$

Finally, we divide both sides by $26$ to solve for $x$:
$x = - \frac{140}{26} = - \frac{70}{13}$

Therefore, $x = - \frac{70}{13}$