# How do you solve for x in x+1/2=3/4?

Mar 4, 2018

See a solution process below:

#### Explanation:

First, put both fractions over common denominators:

$x + \left(\frac{2}{2} \times \frac{1}{2}\right) = \frac{3}{4}$

$x + \frac{2 \times 1}{2 \times 2} = \frac{3}{4}$

$x + \frac{2}{4} = \frac{3}{4}$

Now, subtract $\textcolor{red}{\frac{2}{4}}$ from each side of the equation to solve for $x$ while keeping the equation balanced:

$x + \frac{2}{4} - \textcolor{red}{\frac{2}{4}} = \frac{3}{4} - \textcolor{red}{\frac{2}{4}}$

$x + 0 = \frac{3 - \textcolor{red}{2}}{4}$

$x = \frac{1}{4}$