# How do you solve 0=1/2x-3?

Apr 21, 2017

See the entire solution process below:

#### Explanation:

First, add $\textcolor{red}{3}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

$0 + \textcolor{red}{3} = \frac{1}{2} x - 3 + \textcolor{red}{3}$

$3 = \frac{1}{2} x - 0$

$3 = \frac{1}{2} x$

Now, multiply each side of the equation by $\textcolor{red}{2}$ to solve for $x$ while keeping the equation balanced:

$\textcolor{red}{2} \cdot 3 = \textcolor{red}{2} \cdot \frac{1}{2} x$

$6 = \cancel{\textcolor{red}{2}} \cdot \frac{1}{\textcolor{red}{\cancel{\textcolor{red}{2}}}} x$

$6 = 1 x$

$1 x = 6$

$x = 6$