# Which number is in the solution set of the inequality 5x+3>38?

Jan 10, 2017

The solution set is all numbers greater than $7$.

$x > 7$

#### Explanation:

To solve this we first substract $\textcolor{red}{3}$ from each side of the inequality to isolate the $x$ term while keeping the inequality balanced:

$5 x + 3 - \textcolor{red}{3} > 38 - \textcolor{red}{3}$

$5 x + 0 > 35$

$5 x > 35$

Now, we divide each side of the inequality by $\textcolor{red}{5}$ to solve for $x$ while keeping the inequality balanced:

$\frac{5 x}{\textcolor{red}{5}} > \frac{35}{\textcolor{red}{5}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{5}}} x}{\cancel{\textcolor{red}{5}}} > 7$

$x > 7$