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

Mar 18, 2018

See a solution process below:

#### Explanation:

First, add the fractions on the left over the common denominator:

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

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

$\frac{6}{x} = 3$

Now, multiply each side by $\frac{\textcolor{red}{x}}{\textcolor{b l u e}{3}}$ to solve for $x$ while keeping the equation balanced:

$\frac{\textcolor{red}{x}}{\textcolor{b l u e}{3}} \times \frac{6}{x} = \frac{\textcolor{red}{x}}{\textcolor{b l u e}{3}} \times 3$

$\frac{\cancel{\textcolor{red}{x}} \textcolor{red}{1}}{\textcolor{b l u e}{3}} \times \frac{6}{\textcolor{red}{\cancel{\textcolor{b l a c k}{x}}} 1} = \frac{\textcolor{red}{x}}{\cancel{\textcolor{b l u e}{3}}} \times \textcolor{b l u e}{\cancel{\textcolor{b l a c k}{3}}}$

$\frac{6}{3} = x$

$2 = x$

$x = 2$