[tex]-\frac{7}{9}(x+3)=14\ \ \ \ \ |multiply\ both\ sides\ by\ (-\frac{9}{7})\\\\(-\frac{\not9^1}{\not7_1})\times(-\frac{\not7^1}{\not9_1})(x+3)=-\frac{9}{7}\times14\\\\x+3=-9\times2\\\\x+3=-18\ \ \ \ \ |subtract\ 3\ from\ both\ sides\\\\\boxed{x=-21}[/tex]