Question

−6(x+7)=−4x−2 how many solutions

Answer 1

Answer: There is one solution, -20

Step-by-step 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

Answer:

Only one solution

Step-by-step 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

$\frac{ - 2x}{ - 2} = \frac{40}{ - 2}$

Calculate

$x = - 20$

Hope this helps..

Good luck on your assignment..