How do you solve 19- \frac { 5} { 2} x = 34?

2 Answers
Jun 11, 2018

x=-6

Explanation:

The fraction might be what's bothering you here. Luckily, we can multiply all terms by 2 to get rid of it. We now have

38-5x=68

Since I did the same thing to both sides of this equation, I didn't change the value of this equation. Let's subtract 38 from both sides to get

-5x=30

And our last step would be to divide both sides by -5 to get

x=-6

Hope this helps!

Jun 11, 2018

x=-6

Explanation:

One possible way is to change to a decimal:

5/2 rArr 2.5

therefore 19-2.5x=34

-2.5x=15

x=15/-2.5=-6

Alternate (although harder):

Change everything to a fraction:

38/2-5/2x=68/2

(multiply all numbers by 2 and divide by 2)

-5/2x=30/2

x=(30/2)/(-5/2)=-6

Another alternate way:

Multiply all by 2

38-5x=68

-5x=30

x=30/-5=-6