Answer
$x<5$
Work Step by Step
Given \begin{equation}
\begin{aligned}
4 x+20>10 x-10.
\end{aligned}
\end{equation} Rewrite the inequality so that the variable, $x$ is on the left side of the inequality sign. Change the direction of the inequality sign if you divide or multiply by a negative number.
\begin{equation}
\begin{aligned}
4 x+20&>10 x-10\\
4x-10x&> -10-20\\
-6x&> -30\\
x&<\frac{-30}{-6}\\
x&< 5.
\end{aligned}
\end{equation} The solution is $x<5$.
