How do you solve 17/34=(12-x)/x?

Jan 22, 2016

$x = 8$

Explanation:

To make these numbers easier to work with, simplify the fraction on the left hand side.

$\frac{1}{2} = \frac{12 - x}{x}$

Now, cross multiply.

$1 \left(x\right) = 2 \left(12 - x\right)$

Distribute on the right.

$x = 24 - 2 x$

Add $2 x$ to both sides.

$3 x = 24$

Divide both sides by $3$.

$x = 8$