2/3 (x – 7)= -2 i know x=4 but i need a good show of work for teacher worth 22 points make it worth it

Step-by-step explanation:

⅔ (x – 7) = -2

Let's start by getting rid of the fraction.  Multiply both sides by 3.

2 (x – 7) = -6

Distribute the 2:

2x – 14 = -6

Add 14 to both sides:

2x = 8

Divide both sides by 2:

x = 4

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15