A simple math equation?

5a+4(3a-8)=4+13a

first of all, there are TWO numbers in front of the

parentheses so thats freaking me out.

please solve and show step by step.

you don't have to explain just solve.

Update:

im trying to find a= ___

11 Answers

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  • 1 decade ago
    Favorite Answer

    5a+4(3a-8)=4+13a

    When dealing with such a problem first get rid of the parenthesis..... ONLY the number directly in front of the parethesis with out any + or - signs with be distributed.. anotherwords... distribute the 4 over (3a-8) by multiplying the 4 by each term inside....

    4(3a) + 4(-8) = 12a -32

    We are left with......

    5a+ 12a -32 =4+13a

    Next combine like terms ON THE SAME SIDE.... 5a and 12a are ON THE SAME SIDE and combined give you 17a....

    17a -32 = 4 + 13a

    The next step you take is a matter of your choice... there are FOUR different steps you can take... but once you take the first step you are locked in to how you finish the problem.....

    The easiest thing to do is to get the "a" term on one side of the equation.... 17a is on the left side and 13a on the right side.... I find its easiest to SUBTRACT the SMALLER of the two from both sides.... 13a......

    17a -32 = 4 + 13a

    -13a -13a

    ----------------------------

    4a - 32 = 4

    Now that the a term is ONLY on the left side ISOLATE that term.... -32 is on the same side... get rid of it by doing the opposite operation... 32 is being subtracted... undo it by adding 32 to both sides.....

    4a - 32 = 4

    +32 +32

    --------------------

    4a = 36

    Get a BY ITSELF by DIVIDING by the 4 on both sides...

    4a = 36

    ---- ----

    4 4

    a = 9

    So your final answer is a=9

    Source(s): Math teacher
  • 1 decade ago

    Don't worry about two numbers in front of the parentheses unless there are more parentheses showing grouping.

    Right now you just have to distribute the 4 to the (3a-8), then add that to 5a.

    So going through the steps:

    5a+ 4(3a-8)=4+13a

    5a+12a-32=4+13a (distribution)

    17a-32=4+13a (adding like terms on each side)

    17a-13a=4+32 (get the similar terms on the same sides)

    4a= 36 (add similar terms)

    a=9 (division)

    and voila ^_^

  • 1 decade ago

    Hi this is the answer:

     5a+4(3a-8)=4+13a

     5a+12a-32=4+13a

     5a+12a-13a=4+32

     4a=36

     a=36/4

     a=9

    Therefore the value of a is 9

  • 1 decade ago

    1. Multiply the Parenthesis by the outside number

    4 x 3a = 12 a

    4 x -8 = -32

    5a + 12a - 32 = 4 + 13a

    2. Add like terms (the a's)

    17a - 32 = 4 + 13a

    3. Move the 32 to the other side

    17a - 32 + 32 = 4 +13a +32

    = 17a = 36a +13a

    4. Move 13a to the other side

    17a - 13a = 36 +13 a - 13a

    = 4a = 36

    5. Get a by itself by dividing each side by 4

    4/4a = 36/4

    = a = 9

    There ya go~

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  • 1 decade ago

    First: eliminate parenthesis - distribute the outer term with the terms in parenthesis.

    5a+4(3a)+4(- 8) = 4+13a

    5a+12a+(-32) = 4+13a

    17a - 32 = 4+13a

    Sec: combine "like" terms - subtract 13a from both sides (when you move a term to the opposite side, always use the opposite sign).

    17a-13a - 32 = 4+13a-13a

    17a-13a - 32 = 4

    4a - 32 = 4

    *Add 32 to both sides.

    4a - 32+32 = 4+32

    4a = 36

    Third: solve for "a" - divide both sides by 4.

    4a/4 = 36/4

    a = 9

    Source(s): *Tutoring 5 yrs*
  • Anonymous
    1 decade ago

    5a + 4 (3a - 8) = 4 + 13a

    1. Distribute the +4.

    5a + 12a - 32 = 4 + 13a

    2. Combine like terms.

    17a - 32 = 4 + 13a.

    3. Get variables to one side.

    Subtract 13a from each side.

    4a - 32 = 4

    Add 32 to each side.

    4a = 36.

    Divide each side by 4.

    a = 9.

    Source(s): whoa there googooslide2000....you do distribute the + or - sign. If you had 5a - 4 (3a - 8), you would end up with 5a - 12a +32
  • 1 decade ago

    first multiply the 4 out,so you get: 5a +12a -32=4+13a

    then add the like terms: 17a-32=4+13a

    then subtract 13a from both sides: 4a-32=4

    then add 32 to both sides: 4a=36

    then divide both sides by 4: a=9

  • 1 decade ago

    5a+4(3a-8)=4+13a

    5a+12a-32= 4 +13a

    17a-32= 4+13a

    4a-32=4

    4a= 36

    a=9

  • 1 decade ago

    5a+12a-32=4+13a

    17a-32=4+13a

    now subtract 13a from each side

    17a-32-13a=4+13a-13a

    4a-32=4

    add 32 to each side

    4a-32+32=4+32

    4a=36

    divid by 4

    4a/4=36/4

    a=9

    any questions let me know glad to help

  • 1 decade ago

    a=9

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