Verified Answer :

christipetkov

First you make -1 and 3/4 have a common denominator. 1 has a fraction of 1/1 so times four it is 4/4. Then you add on both sides in order  to isolate x and you get 3/10x = 7/4.

Then you isolate x by multyiplying the reciprocal of 3/10 on both sides, 10/3.
3/10 and 10/3 cancel out and you get an answer of x = 70/4.

You could then simplify it to get 35/6 by finding a greasted common multiple of 12 and 70 which is 2 and dividing both by 2 to get a simpilier answer.

So the answer is x = 35/6

✦Alright. Lets do this step-by-step. ✦

3/10x - 1 = 3/4         ⇒    Equation
          +1     +1         ⇒    Inverse operation being applied to both sides

1 3/4 = 3/10x

3/10x
--------   = 7/4 ÷  3/10
3/10 

Now we need to divide 7/4 by 3/10

Keep the first fraction         ⇒      7/4
Change the sign                 ⇒       ×
Flip the second fraction      ⇒      10/3

Now multiply them!

710 = 70
------------
43 = 12

70/12 = x

Simplify ⇒   70/12 

5  10/12 =  5   5/6

Answer ⇒  x =  5  5/6

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