When 3 is multiplied by 5 less than a number, the result is 9 less tha

1.	When 3 is multiplied by 5 less than a number, the result is 9 less than 5 times the number. Find the number
Answer» $\mathbb{\bold{\underline{ANSWER}}}$ $\fbox{\textsf{12}}$ $\mathbb{\bold{\underline{EXPLANATION:}}}$ $\textsf{We will make a linear equation to solve this.}$ $\colon \to \textbf{To make a linear equation :}$ $\textsf{Let the number be 'n'}$ $\star \texttt{ 5 less than a number $\to$ \textsf{n - 5}}$ $\star \texttt{ 3 is multiplied by 5 less than a number $\to$ \textsf{\textbf{3 x (n - 5)}}}$ $\star \texttt{ 5 times a number $\to$ \textsf{5 x n}}$ $\star \texttt{ 9 less than 5 times a number $\to$ \textsf{\textbf{(5 x n) - 9}}}$ $\textsf{So, the linear equation is : \textbf{3 x (n - 5) = (5 x n) - 9}}$ $\colon \to \textbf{To solve the linear equation :}$ $\star \textsf{ 3 x (n - 5) = (5 x n) - 9}$ $\to \textsf{(3 x n) - (3 x -5) = 5n - 9}$ $\to \textsf{3n - (-15) = 5n - 9}$ $\to \textsf{3n + 15 = 5n - 9}$ $\to \textsf{15 = 5n - 3n - 9}$ $\to \textsf{15 + 9 = 5n - 3n}$ $\to \textsf{24 = 2n}$ $\to \textsf{$\frac{\textsf{24}}{\textsf{2}}$ = n}$ $\therefore \textbf{The number = \underline{12}}$