Answer:
c) 2/3
Step-by-step explanation:
The given proportion is
[tex]\frac{6x+1}{7}=\frac{18x-2}{14}[/tex]
[tex]\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\\\left(6x+1\right)\cdot \:14=7\left(18x-2\right)\\\\84x+14=126x-14[/tex]
Now subtract 14 to both sides
[tex]84x+14-14=126x-14-14[/tex]
On simplifying
[tex]84x=126x-28\\\\42x=-28[/tex]
Now, divide both sides by 42
[tex]x=\frac{-28}{42}\\\\x=\frac{2}{3}[/tex]
Thus, the value of x is 2/3
c is the correct option.
