Question

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

many negatives look closely 20 points

Answer 1

$-6 -4x=-2(-4x+7) \\\\ -6-4x=8x-14\\\\ 12x=8\\\\ x=\dfrac{8}{12}=\dfrac{2}{3}$

So, one

Answer 2

one solution x = $\frac{2}{3}$

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 = $\frac{-8}{- 12}$ = $\frac{2}{3}$