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24-09-2020
Mathematics

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6x - 12 = 2 (3x - 9) + 6

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moorecynthia1014 moorecynthia1014

24-09-2020

Answer:

6x + -12 = 3x + 9

Reorder the terms:

-12 + 6x = 3x + 9

Reorder the terms:

-12 + 6x = 9 + 3x

Solving

-12 + 6x = 9 + 3x

Step-by-step explanation:

12 + 6x = 9 + 3x

-12 + 6x = 9 + 3x

-12 + 6x + -3x = 9 + 3x + -3x

6x + -3x = 3x

-12 + 3x = 9 + 3x + -3x

3x + -3x = 0

-12 + 3x = 9 + 0

-12 + 3x = 9

-12 + 12 + 3x = 9 + 12

-12 + 12 = 0

0 + 3x = 9 + 12

3x = 9 + 12

9 + 12 = 21

3x = 21

Divide each side by 3

x = 7

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