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UmarsBack

  • 2 years ago

Help, explain step by step.

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  1. UmarsBack
    • 2 years ago
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    Solve: 3(x + 4) - 4(x + 3) = 7x + 16.

  2. Khaleesi
    • 2 years ago
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    distribute the 3 and the -4 into the parentheses. what do you get?

  3. UmarsBack
    • 2 years ago
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    3x+12 - 4x + (-12) = 7x +16

  4. Khaleesi
    • 2 years ago
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    you can make that + (-12) just -12. so 3x + 12 - 4x - 12 = 7x + 16 now you gotta combine your like terms

  5. UmarsBack
    • 2 years ago
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    x = 7x + 16?

  6. Khaleesi
    • 2 years ago
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    3 - 4 = -1, so your x should be negative -x = 7x + 16 now you have to move the 7x to the left side

  7. UmarsBack
    • 2 years ago
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    6x = 16 /6 /6 x=3 ?

  8. Khaleesi
    • 2 years ago
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    no. we have to do the opposite to both sides when moving the 7x to the other side. the opposite of 7x is -7x. so subtract 7x from both sides

  9. UmarsBack
    • 2 years ago
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    7x = 16 -7x -7x

  10. Khaleesi
    • 2 years ago
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    no :/ since we have -x on the left side, we have to do -1x - 7x, which is -8x. so -8x = 16 now you can divide both sides by -8 to solve for x

  11. UmarsBack
    • 2 years ago
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    Ohh sorry, i get confused when it comes to integers! -8x = 16 -8x -8x x=-2

  12. Khaleesi
    • 2 years ago
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    that's right! :D

  13. UmarsBack
    • 2 years ago
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    Thank you for helping me!

  14. Khaleesi
    • 2 years ago
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    no problem :]

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