Answer:
x=27/2
Explanation:
1/2-1/3x=-4
subtract 1/2 from both sides
1/2+-1/3x -1/2=-4 -1/2
Group like terms
-1/3 ⋅ x +1/2+(-1/2)=-4 -1/2
Combine the fractions
-1/3 ⋅ x+0=-4 -1/2
Convert the integer into a fraction
-1/3 ⋅ x=-8/2 -1/2
Combine.
-1/3 ⋅ x= -9/2
Isolate the x:
-1/3x ⋅ 3/-1= -9/2 ⋅ 3/-1
1x=-9/2 ⋅ 3/-1
x= -9 ⋅ -3/2
x=27/2 as your answer