simivation
simivation simivation
  • 07-05-2020
  • Mathematics
contestada

What are all the simplified form of the equation 3(4x - 2) = 9 + 2x + 5

Respuesta :

igoroleshko156
igoroleshko156 igoroleshko156
  • 07-05-2020

Step-by-step explanation:

Step 1:  Distribute

[tex]3(4x - 2) = 9 + 2x + 5[/tex]

[tex](3 * 4x) + (3 * -2) = 14 + 2x[/tex]

[tex]12x - 6 = 14 + 2x[/tex]

Step 2:  Add 6 to both sides

[tex]12x - 6 + 6 = 14 + 6 + 2x[/tex]

[tex]12x = 20 + 2x[/tex]

Step 3:  Subtract 2x from both sides

[tex]12x - 2x = 20 + 2x - 2x[/tex]

[tex]10x = 20[/tex]

Step 4:  Divide both sides by 10

[tex]10x / 10 = 20 / 10[/tex]

[tex]x = 2[/tex]

Answer:  [tex]x = 2[/tex]

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