Question

Which of the following equations is equivalent to 2x – 4 = 6?

Answer 1

C.) -3x + 6 = -9

Explanation:

2x - 4 = 6 |add 4 to both sides

2x = 10 |divide both sides by 2

x = 5

a)

5x - 6 = -11 |add 6 to both sides

5x = -5 |divide both sides by 5

x = -1 ≠ 5

b)

-4x - 2 = 10 |add 2 to both sides

-4x = 12 |divide both sides by (-4)

x = -3 ≠ 5

c)

-3x + 6 = -9 |subtract 6 from both sides

-3x = -15 |divide both sides by (-3)

x = 5 √

d)

2x + 3 = 7 |subtract 3 from both sides

2x = 4 |divide both sides by 2

x = 2 ≠ 5

Answer 2

c.) -3x + 6 = -9

Original question answer:

2x - 4 = 6

2x = 6 + 4

2x = 10

x = 10/2 = 5

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a) 5x - 6 = -11

5x = -11 + 6

5x = -5

x = -1

b) -4x - 2 = 10

-4x = 10 + 2

-4x = 12

x = 12/-4 = -3

c) -3x + 6 = -9

-3x = -9 - 6

-3x = -15

x = -15/-3 = 5

d) 2x + 3 = 7

2x = 7 - 3

2x = 4

x = 4/2 = 2