3x+1/10=x+2/3

Question

what is x      

Answer 1

To find x, take these steps:

3x+(1/10) - x = x - x + (2/3)

 

2x + (1/10) = (2/3)

 

2x + (1/10) - (1/10) = (2/3) - (1/10)

 

Here you will have to make the fractions have the same common denominator in order to subtract.  The easiest way to do that is to set a denominator of 30.  For (2/3), the 3 becomes 30, so the 2 becomes 20 (because 20/30 is the same as 2/3).  For (1/10), the 10 becomes 30, so the 1 becomes 3 (because 3/30 is the same as 1/10).

 

Thus you end up with:

2x = (20/30) - (3/30)

 

2x = (17/30)

 

To solve, divide both sides by 2.

 

x = (17/30) / 2

 

With fractional division, you multiply by the reciprocal of the number you're dividing by.  In other words, if you divide by 2, then you multiple by 1/2:

 

x = (17/30) * (1/2)

 

Thus, x = 17/60.

 

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