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how to work math problem -7/9(x=3)=14

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-7/9(x=3)=14

-7/9x-7/3=14 (distribute)
-7/9x=49/3 (add 7/3 to both sides)

x=-21 (divide 49/3 by -7/9)

you can check if its correct by substituting back into the original equation
[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]
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