Question

What is 4/9(x+3)=g, solve for x?

Answer 1

$\dfrac{4}{9}(x+3)=g\ \ \ \ |multiply\ both\ sides\ by\ 9\\\\4(x+3)=9g\ \ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\4x+12=9g\ \ \ \ |subtract\ 12\ from\ both\ sides\\\\4x=9g-12\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{x=\frac{9}{4}g-3}$

Answer 2

$\frac{4}{9(x+3)} = g$ 

$\frac{4(x+3)}{9} =g$ 

 $4(x+3)=g*9$       $||Multiply- both -sides -by-\ \textgreater \ 9||$  

$4(x+3)=9g$         $||Regroup -terms||$ 

$x+3= \frac{9g}{4}$    $||Divide- both -sides- by-\ \textgreater \ 4||$ 

$x= \frac{9g}{4} -3$