Question

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

Answer 1

`3x + (1)/(14) = (2x)/(8)`

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

`8(3x + (1)/(14)) = 8( (2x)/(8))`

Then, you develop, and you get:

`24x + (8)/(14) = 2x`

You simplify
`(8)/(14)` by dividing by 2, and you get:

`24x + (4)/(7)` = 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
`(4)/(7)` to the other part ( and it become
`- (4)/(7)`), so you get:

`24x - 2x = - (4)/(7)`

you subtract and you get:

`22x = - (4)/(7)`

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

`x = ( - (4)/(7) )/(22)`

As you know,
`22 = (22)/(1)`, and dividing 2 fraction is equal to multiplying the first fraction by the inverse of the second fraction, so you get:

`-(4)/(7) * (1)/(22) = x`

You multiply and you get:

`- (4)/(154) = x`

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

`-(4/2)/(154/2) = x`

you divide, and you get:

`-(2)/(77) = x`

So,
`x = -(2)/(77)`

Hope this Helps! :D

Answer 2

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