What is the value of x in this

5 1/10x - 6 4/5= 3 1/4

Step-by-step explanation:

For clarity please use parentheses around mixed numbers, for example, type in (5 1/10)x instead of 5 1/10x.

There are three differente denominators here:  10, 5 and 4.  The LCD is 20.

Rewriting this problem, we get:

(5 2/20)x - 6 16/20 = 3 5/20

Next, combine the constants  6 16/20 and 3 5/20:

(5 2/10)x = 9 21/20, or (5 2/20)x = 10 1/20

Solving for x, we divide 10 1/20 by 5 2/20:

 10.05

= 1.97 approx

   5.1

A different and faster approach would be to convert all of the fractions in the original equation to decimal fractions:

(5.1)x - 6.8 = 3.25.  Combining the constants, we get:

5.1x = 10.05, which equals 1.97 approx, as before.

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