SergioM786885 SergioM786885
  • 03-11-2022
  • Mathematics
contestada

solve the value of the variable7(3x-4)=6x-4+3x+12

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KamarriD683505 KamarriD683505
  • 03-11-2022

7(3x-4) = 6x -4 +3x +12​

Distributing:

7(3x) -7(4) = 6x -4 +3x +12​

21x - 28 = 6x -4 +3x +12​

Combining similar terms:

21x - 28 = (6x + 3x) + (-4 +12​)

21x - 28 = 9x + 8

9x is adding on the right, then it will subtract on the left

28 is subtracting on the left, then it will add on the right

21x - 9x = 8 + 28

12x = 36

12 is multiplying on the left, then it will divide on the right

x = 36/12

x = 3

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