How do you solve 3/7x+5=9?

Feb 17, 2017

See the entire solution process below:

Explanation:

Step 1) Subtract $\textcolor{red}{5}$ from each side of the equation to isolate the $x$ term while keeping the equation balanced:
$\frac{3}{7} x + 5 - \textcolor{red}{5} = 9 - \textcolor{red}{5}$

$\frac{3}{7} x - 0 = 4$

$\frac{3}{7} x = 4$

Step 2) multiply each side of the equation by $\frac{\textcolor{red}{7}}{\textcolor{b l u e}{3}}$ to solve for $x$ while keeping the equation balanced:

$\frac{\textcolor{red}{7}}{\textcolor{b l u e}{3}} \times \frac{3}{7} x = \frac{\textcolor{red}{7}}{\textcolor{b l u e}{3}} \times 4$

$\frac{\cancel{\textcolor{red}{7}}}{\cancel{\textcolor{b l u e}{3}}} \times \frac{\textcolor{b l u e}{\cancel{\textcolor{b l a c k}{3}}}}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}} x = \frac{28}{3}$

$x = \frac{28}{3}$