Question

I need help on how to find out what x equals in this problem 2 1/7 + 3/7 (3x-5)= -4

Answer 1

We are given the following equation

`2(1)/(7)+(3)/(7)(3x-5)=-4​`

Let us first convert the mixed number (2 1/7) to a simple fraction

`2(1)/(7)=(2\cdot7+1)/(7)=(14+1)/(7)=(15)/(7)`

So the equation becomes

`(15)/(7)+(3)/(7)(3x-5)=-4​`

Now multiply the fraction 3/7 by the terms in the bracket

`(15)/(7)+(9x)/(7)-(15)/(7)=-4`

As you can see the fractions 15/7 cancels out.

`(9x)/(7)=-4`

Finally, solving for x

`\begin{gathered} (9x)/(7)=-4 \\ 9x=-4\cdot7 \\ 9x=-28 \\ x=-(28)/(9) \end{gathered}`

Therefore, the value of x is -28/9