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anonymous

  • one year ago

Given the equation 4x + 7 = 3(2x − 5), solve for the variable. Explain each step and justify your process.

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  1. triciaal
    • one year ago
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    welcome to openstudy

  2. triciaal
    • one year ago
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    expand the parenthesis on the right then isolate the variable to one side then divide by the coefficient of the variable.

  3. triciaal
    • one year ago
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    remember this is an equation so whatever you do to one side also do to the other to maintain the balance

  4. triciaal
    • one year ago
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    do you know how to expand the parenthesis?

  5. anonymous
    • one year ago
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    would it be 3 times 2x - 3 times 5 ? @triciaal

  6. triciaal
    • one year ago
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    no to expand the parenthesis multiply what is outside by each term inside

  7. triciaal
    • one year ago
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    |dw:1436035485589:dw|

  8. triciaal
    • one year ago
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    what does this simplify to

  9. anonymous
    • one year ago
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    oh ok thats what i said i just got the signs mixed up. thank you !

  10. anonymous
    • one year ago
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    3(2x) - 15

  11. triciaal
    • one year ago
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    you said "3 times 2x - 3 times 5 " means 15 times (2x-3)

  12. triciaal
    • one year ago
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    |dw:1436035703822:dw|

  13. anonymous
    • one year ago
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    i meant (3 times 2x) - (3 times 5)

  14. triciaal
    • one year ago
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    set the right side = left side to isolate the variable means get all the terms with the variable to one side and everything else on the other what do you get?

  15. anonymous
    • one year ago
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    x=4 ?

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    wait no

  18. triciaal
    • one year ago
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    |dw:1436035837230:dw|

  19. anonymous
    • one year ago
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    ohh ok i see thank u so much

  20. triciaal
    • one year ago
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    |dw:1436035991574:dw|

  21. anonymous
    • one year ago
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    u added 15 to both sides then subtracted 4x then divided 2

  22. anonymous
    • one year ago
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    thank you!!

  23. triciaal
    • one year ago
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    correct

  24. triciaal
    • one year ago
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    you are welcome

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