Answer:
Is (-5/6)*x = 6? Then x = -36/5.
Is (-5/6x) = 6? Then x = -5/36.
Explanation:
I hate to nitpick, but the question itself leaves a lot up to interpetation thanks to PEMDAS. In math, it matters if numbers and variables are either in the numerator or the denominator of a fraction. If the arrangement is made unclear, then differing answers may appear, and that's not a really good look for mathematics as a whole. But since I'm nice, I'll answer the two equations that this question can be interpeted as.
First intepretation: (-5/6)*x = 6
The only step we do is multiply both sides by (-6/5) to get x by itself. Remember that when you multiply a number by its reciprocal, the product is 1. So, if we multiply (-5/6) by its reciprocal (-6/5), it equals 1. They then cancel out.
(-5/6)*x = 6
(-6/5)*(-5/6)*x = 6*(-6/5)
x = -36/5
Second Interpretation: (-5/6x) = 6
Since x is in the denominator, we need to get it out of there so our answer equals x and not 1/x. So, we will multiply both sides by x.
(-5/6x) = 6
x*(-5/6x) = x*6
-5/6 = 6x
Then, we divide 6 on both sides to isolate x.
(-5/6)/6 = (6x)/6
-5/36 = x
x = -5/36