# How do you solve for x in 1/2ax=c?

Feb 13, 2016

$x = \frac{2 c}{a}$

#### Explanation:

To isolate $x$, let's first try to deal with the $\frac{1}{2}$.

When undoing fractions, multiply both sides by the reciprocal of the fraction. The reciprocal of $\frac{1}{2}$ is $\frac{2}{1}$, so multiply both sides by $\frac{2}{1}$.

$\frac{2}{1} \times \frac{1}{2} a x = c \times \frac{2}{1}$

Note that $\frac{2}{1} \times \frac{1}{2} = 1$ on the left side.

$a x = 2 c$

Now, to isolate $x$ fully, divide both sides by $a$.

$\frac{a x}{a} = \frac{2 c}{a}$

$x = \frac{2 c}{a}$