Beginning Algebra With Applications, Chapter 3, Test, Section Test, Problem 26

Evaluate: $15 - 3 (5x - 7) < 2(7 - 2x)$

$
\begin{equation}
\begin{aligned}
15 - 3(5x) - 3(-7) &< 2(7) - 2(2x) && \text{Apply Distributive Property to remove the parenthesis}\\
\\
15 - 15x + 21 &< 14 - 4x && \text{Simplify}\\
\\
-15x + 4x &< 14 - 21 - 15 && \text{Group terms}\\
\\
-11x &< -22 && \text{Combine like terms}\\
\\
\frac{-11x}{-11} &< \frac{-22}{-11} && \text{Divide each side by } -11\\
\\
x &> 2 && \text{The sign reverses when you multiply or divide negative numbers with inequalities}
\end{aligned}
\end{equation}
$