Question

Is -6 -4x=-2(-4x+7) a one solution a infinite solution or many solutions

many negatives look closely 20 points

Answer 1

one solution x =
`(2)/(3)`

distribute and simplify the right side of the equation.

- 6 - 4x = 8x - 14

subtract 8x from both sides

- 6 - 4x - 8x = - 14

- 6 - 12x = -14

add 6 to both sides

- 12x = - 14 + 6

- 12x = - 8

divide both sides by - 12

x =
`(-8)/(- 12)` =
`(2)/(3)`

Answer 2

`-6 -4x=-2(-4x+7) \\\\ -6-4x=8x-14\\\\ 12x=8\\\\ x=(8)/(12)=(2)/(3)`

So, one