Question

−6(x+7)=−4x−2 how many solutions

Answer 1

Answer: There is one solution, -20

Explanation:

`-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20`

There is one solution, -20

Hope it helps <3

Answer 2

Only one solution

Explanation:

Solution,

`- 6(x + 7) = - 4x - 2`

Distribute -6 through the parentheses

`- 6x - 42 = - 4x - 2`

Move variable to L.H.S and change its sign

`- 6x + 4x - 42 = - 2`

Move constant to R.H.S and change its sign

`- 6x + 4x = - 2 + 42`

Collect like terms

`- 2x = - 2 + 42`

Calculate the sum

`- 2 x = 40`

Divide both sides of the equation by - 2

`( - 2x)/( - 2) = (40)/( - 2)`

Calculate

`x = - 20`

Hope this helps..

Good luck on your assignment..