Answer:
[tex]x=\frac{3g}{8(k+d)}[/tex]
Step-by-step explanation:
The best way is to use reciprocals. Remember that the reciprocal of a number x is 1/x. For example, the reciprocal of 2 is 1/2 and the reciprocal of 13 is 1/13. Applying the reciprocal on both sides:
[tex]\frac{2}{3g} = \frac{1}{4x(k+d)}\\\frac{3g}{2} = \frac{4x(k+d)}{1}\\\frac{3g}{2} = 4x(k+d)\\[/tex]
Another way to see it is by switching on both side numerator and denominator.
Now we divide both side by the factors next to x, which are 4 and (k+d).
[tex]\frac{3g}{2*4(k+d)} = \frac{4x(k+d)}{4(k+d)}\\\frac{3g}{8(k+d)} = x\\[/tex]
