common denumerator is 12
-8/12x-9/12x=10/12
-17/12x=10/12 <<multiply by 12
-17x=10
x=-0.59
-2/3x - 3/4x =5/6.
Find the common denominator for -2/3x and -3/4x. The common denominator is 12.
Multiply by 4 for -2/3x. (-2)(4)/3(4)x=-8/12x
Multiply by 3 for -3/4x. (-3)(3)/4(3)x=-9/12x
-8/12x-9/12x=5/6
-17/12x=5/6
Multiply both sides by -12/17
(-17/12x)(-12/17)=5/6(-12/17)
Cross out -17 and 17, divide by 17. Then becomes 1.
Cross out -12 and -12, divide by -12. Then becomes 1.
1*1*x=x
Cross out 6 and -12, divide by 6. 6/-6=1, -12/6=-2
5*-2/17=-10/17
Answer: -10/17