[tex] \sf - \frac{2}{3} ( \frac{3}{8} x + 9) = \frac{3}{5} ( \frac{5}{12} x + 10)[/tex]
- Multiply both sides of the equation by 15.
[tex] \sf \: - 10( \frac{3}{8} x + 9) = 9( \frac{5}{12} x + 10)[/tex]
- Distribute -10 through the parentheses.
[tex] \sf \: - \frac{15}{4} x - 90 = 9( \frac{5}{12} x + 10)[/tex]
- Distribute 9 through the parentheses.
[tex] \sf \: - \frac{15}{4} x - 90 = \frac{15}{4} x + 90[/tex]
- Multiply both sides of the equation by 4.
[tex] \sf \: - 15x - 360 = 15x + 360[/tex]
- Move the variable to the left-hand side and change its sign.
[tex] \sf \: - 15x - 360 - 15x = 360[/tex]
- Move the constant to the right-hand side and change its sign.
[tex] \sf \: - 15x - 15x = 360 + 360[/tex]
[tex] \sf \: - 30x = 720[/tex]
- Divide both sides of the equation by-30.
[tex] \boxed{ \tt \: x = - 24}[/tex]
