6. Which of the following equations represents the data in the table? Х
-4
0
4
8
y
5
2
-1
-4
O A. y = x + 2
O B. y = -x + 2
oc. y = x + 8
OD. y = -
3 + 8
M

Step-by-step explanation:

6. Which of the following equations represents the data in the table?

Х

-4

0

4

8

y

5

2

-1

-4

O A. y = x + 2

O B. y = -x + 2

oc. y = x + 8

OD. y = -

3 + 8

M

help pl

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

c.)

step-by-step explanation: