7 less than the quotient of X and -2 is -10 more than the product of -2 and X

Answer 1

(x/-2)-7 = -10-2x

Multiply -2 on both sides

x+14 = 20+4x

4x-x = 14-20

3x=-6

x=-6/3

x= -2

Answer 2

We should first translate this into an equation:

1. "7 Less than the quotient of x and -2" translates to: (x/-2) - 7
2. "is -10 more than the product of -2 and x" translates to: = -10 - 2*x

So our equation is (x/-2) - 7 = -10 - 2x. Adding 2x to both sides we have that 3x/2 - 7 = -10, and adding 7 to both sides we have 3x/2 = -3. Multiplying by 2/3 we have that x = -2.