-1/2 divided by what equals -7/3

(-1/2)/x = -7/3

*multiply both sides by x

(-1/2) = (-7/3)x

*divide both sides by (-7/3)

(-1/2)/(-7/3) = x

dividing by a fraction is the same as multiplying by it's reciprocal:

x = (-1/2)*(-3/7)

* the negative signs cancel

x = (1/2)*(3/7)

x = (1*3)/(2*7)

x = 3/14

X = 10

Step-by-step explanation:

Step 1: Cross-multiply.

15x − 10/6 = 6x + 10/3

(15x − 10) * (3) = (6x + 10) * (6)

45x − 30 = 36x + 60

Step 2: Subtract 36x from both sides.

45x − 30 − 36x = 36x + 60 − 36x

9x − 30 = 60

Step 3: Add 30 to both sides.

9x − 30 + 30 = 60 + 30

9x = 90

Step 4: Divide both sides by 9.

9x/9 = 90/9

X = 10

Hope this helps :-)