# How do you solve 7(x+4)>0?

Jul 21, 2017

See a solution process below:

#### Explanation:

Step 1) Divide each side of the inequality by $\textcolor{red}{7}$ to eliminate the parenthesis while keeping the inequality balanced:

$\frac{7 \left(x + 4\right)}{\textcolor{red}{7}} > \frac{0}{\textcolor{red}{7}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}} \left(x + 4\right)}{\cancel{\textcolor{red}{7}}} > 0$

$x + 4 > 0$

Step 2) Subtract $\textcolor{red}{4}$ from each side of the inequality to solve for $x$ while keeping the inequality balanced:

$x + 4 - \textcolor{red}{4} > 0 - \textcolor{red}{4}$

$x + 0 > - 4$

$x > - 4$