Answer:
x=-2/3
Explanation:
So let's start off with adding 4x on both sides, we add them to cancel out the -4x on the right hand side.
4x+-9x=-5x
Now, as for the fractions all we really gotta do here is add and subtract them. Let's subtract 5/6 on both sides. once we do that we get:
2/3+7/2-5/6=-5x
A quick trick for adding and subtract fractions is to cross multiply.
2/3+7/2
Multiply 3 times 7 and 2 times 2, then we'll multiply 3 times 2 to get a denominator.
3*2=6 (our denominator)
3*7=21
21/6
2*2=4/6
21/6+4/6=
25/6
Awesome! Now we have two like denominators so we don't have to do any additional cross multiplying. So, we can subtract 25/6-5/6=20/6.
Now, all we're left with is:
20/6=-5x
We can multiply 6 on both sides to isolate the 20.
20=-30x
Divide -30 on both sides!
x=-2/3
Hope this helps!