Solve for x
3x+1/14=2x/8

3x+(1/14)= 2x/8
24x+(4/7)=2x ( i multiplied everything by 8)
22x+4/7=0 ( i subtracted 2x to both sides)
22x= -4/7 ( i subtracted 4/7 to both sides) 
x= (-4/7)/ 22
x= -2/77

First, you multiply everything by 8, so you get:


Then, you develop, and you get:


You simplify  by dividing by 2, and you get:
= 2x

Then, you put known numbers apart (numbers without x), and unknown numbers apart (numbers with x), which means you move 2x to the other part (and it become -2x), and  to the other part ( and it become ), so you get:


you subtract and you get: 
 

then, you move 22 to the other part, and since it's a multiplication, it become a division, so you get:


As you know, , and dividing 2 fraction is equal to multiplying the first fraction by the inverse of the second fraction, so you get:


You multiply and you get:


4 and 154 have a common factor which is 2, so you divide each one by 2, and you get:


you divide, and you get:


So, 

Hope this Helps! :D