Question

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

Answer 1

$3x + \frac{1}{14} = \frac{2x}{8}$

First, you multiply everything by 8, so you get:
$8(3x + \frac{1}{14}) = 8( \frac{2x}{8})$

Then, you develop, and you get:
$24x + \frac{8}{14} = 2x$

You simplify $\frac{8}{14}$ by dividing by 2, and you get:
$24x + \frac{4}{7}$ = 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 $\frac{4}{7}$ to the other part ( and it become $- \frac{4}{7}$), so you get:
$24x - 2x = - \frac{4}{7}$

you subtract and you get: 
$22x = - \frac{4}{7}$ 

then, you move 22 to the other part, and since it's a multiplication, it become a division, so you get:
$x = \frac{ - \frac{4}{7} }{22}$

As you know, $22 = \frac{22}{1}$, and dividing 2 fraction is equal to multiplying the first fraction by the inverse of the second fraction, so you get:
$-\frac{4}{7} * \frac{1}{22} = x$

You multiply and you get:
$- \frac{4}{154} = x$

4 and 154 have a common factor which is 2, so you divide each one by 2, and you get:
$-\frac{4/2}{154/2} = x$

you divide, and you get:
$-\frac{2}{77} = x$

So, $x = -\frac{2}{77}$

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