Lets get there :)
[tex] \frac{3}{8}x = \frac{1}{4} [/tex]
We need to divide by [tex] \frac{3}{8} [/tex] on either side to isolate x
x = [tex] \frac{1}{4} [/tex] ÷ [tex] \frac{3}{8} [/tex]
We need to change and find the reciprocal since it is a division by fraction
x = [tex] \frac{1}{4} [/tex] x [tex] \frac{8}{3} [/tex]
x = [tex] \frac{2}{3} [/tex]