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anonymous

  • one year ago

8(2x – 14) + 13 = 4x – 27 i know x=6 but i need a step by step way how to get it

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  1. freckles
    • one year ago
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    I would distribute where possible 8(2x-14)=? recall a(b+c)=a*b+a*c

  2. anonymous
    • one year ago
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    16x-112

  3. freckles
    • one year ago
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    so then we have: \[16x-112+13=4x-27\]

  4. freckles
    • one year ago
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    now we do have like terms on the left hand side

  5. freckles
    • one year ago
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    -112+13=?

  6. anonymous
    • one year ago
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    -99

  7. freckles
    • one year ago
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    that is what I have too... \[16x-99=4x-27\]

  8. freckles
    • one year ago
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    now we need to get the terms with x on one side and the terms without x on the opposing side

  9. anonymous
    • one year ago
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    -4x?

  10. freckles
    • one year ago
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    right subtract 4x on both sides

  11. freckles
    • one year ago
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    16x-4x-99=4x-4x-27 this will make x go away on one side since 4x-4x=0 12x-99=-27

  12. freckles
    • one year ago
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    you mean +99 on both side sright?

  13. anonymous
    • one year ago
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    haha yea

  14. freckles
    • one year ago
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    \[12x-99+99=-27+99\] yes this would isolate the 12x on the left hand side since -99+99=0 \[12x=-27+99\]

  15. freckles
    • one year ago
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    so we do have like terms on the right hand side -27+99=?

  16. anonymous
    • one year ago
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    combine like terms

  17. freckles
    • one year ago
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    -27+99=72 so we have: \[12x=72 \text{ since } 99-27=72\] last step is to...

  18. freckles
    • one year ago
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    we want to isolate the x but x is being multiplied by 12

  19. freckles
    • one year ago
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    so divide both sides by?

  20. anonymous
    • one year ago
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    12

  21. freckles
    • one year ago
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    \[12x=72 \\ \frac{12x}{12}=\frac{72}{12} \\ \frac{12}{12}x=\frac{72}{12} \\ 1 x=\frac{72}{12} \text{ since } \frac{12}{12}=1 \\ x=\frac{72}{12} \text{ since } 1x=x\]

  22. anonymous
    • one year ago
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    thanks so much

  23. freckles
    • one year ago
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    you just have to reduce 72/12 and you are done (aka divide)

  24. freckles
    • one year ago
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    np

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