piperf05 piperf05
  • 25-03-2020
  • Mathematics
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What is the answer for 3(4x+7)-14=-31

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Genius102
Genius102 Genius102
  • 25-03-2020

3(4x+7)-14=-31

12x+21-14=-31

12x+7=-31

12x=-31-7

12x=-38

x=-19/6 or -3 1/6 or -3.16

Answer Link
igoroleshko156
igoroleshko156 igoroleshko156
  • 25-03-2020

Answer:

x = -19/6

Step-by-step explanation:

Step 1:  Distribute

3(4x + 7) - 14 = -31

(3 * 4x) + (3 * 7) - 14 = -31

12x + 21 - 14 = -31

Step 2:  Combine like terms

12x + 21 - 14 = -31

12x + 7 = -31

Step 3:  Subtract 7 from both sides

12x + 7 - 7 = -31 - 7

12x = -38

Step 4:  Divide both sides by 12

12x / 12 = -38 / 12

x = (-38/2) / (12/2)

x = -19/6

Answer: x = -19/6

Answer Link

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