[tex]LINEAR \: \: EQUATIONS \: \: IN \: \: ONE \: \\
VARIABLE \\ \\ \\
Given \: \: expression \: \: - \\ \\ 5 - \frac{x}{4} = \frac{3(x + 1)}{9} \\ \\ 5 - \frac{x}{4} = \frac{(x + 1)}{3} \\ \\ 5 - \frac{x}{4} = \frac{x}{3} + \frac{1}{3} \\ \\ 5 - \frac{1}{3} = \frac{x}{3} + \frac{x}{4} \\ \\ \frac{14}{3} = \frac{4x + 3x}{12} \\ \\ \frac{14}{3} = \frac{7x}{12} \\ \\ x = \frac{14}{3} \times \frac{12}{7} \\ \\ || \: \: x = 8 \: \: || \: \: \: \: \: \: \: \: Ans.[/tex]
