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How do I solve 3 (x + 20) + (x + 20) + x = 180?

I am reading my math book and trying very hard to solve this problem but I am very challenged when it comes to Algebra. My book has the answer so I am not just looking for a freebie but a way to solve these types of problems so that I can do it on my own. Again I appreciate the help given :)

14 Answers

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  • Como
    Lv 7
    1 decade ago
    Favorite Answer

    3x + 60 + x + 20 + x = 180

    5x + 80 = 180

    5x = 100

    x = 20

  • Anonymous
    1 decade ago

    3 (x + 20) = 3x + 60

    equation is 3x + 60 + x + 20 + x = 180

    collect terms: 5x + 80 = 180

    5x - 80 = 180 - 80

    5x = 100

    x = 100 / 5

    x = 20

    Substituting into equation answer 20 we get;

    3 ( 20 + 20 ) + ( 20 + 20 ) + 20 = 180

    3 x 40 + 40 + 20 = 180

    120 + 40 + 20 = 180

    180 = 180

  • 1 decade ago

    To solve 3(x+20)+(x+20)+x=180

    solution:

    firstly open the brackets

    3x + 60 + x + 20 + x = 180

    collect like terms

    3x + x + x = 180 - 60 - 20

    5x = 100

    x = 100/5

    x = 20

  • 1 decade ago

    firstly u need to distribute 3(x + 20) and get 3X + 60 and + with x + 20 + x....u need to separate between the x and the number..so it'll be like this

    3x + 60 + x + 20 + x =180

    combine the x's, 3x + x + x =5x

    then combine the number,60 + 20=80

    now u get 5x + 80 = 180

    then u bring the 80 to the right,the '+' will change into '-' so ull get.....5x=180 - 80

    solve the minus operation..5x =100

    now u need to get x,it has to be alone that means

    x =100/5...

    so x is 20....

    p/s: u have to do it carefully and always think,its just a simple question.....gud luck

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  • Anonymous
    1 decade ago

    There are algebraic rules of sequence (the order in which you perform the indicated calculations) - for instance, if there are no parentheses present, one would do multiplication and division first and then do addition and subtraction. (E-mail me if you want a better example of this.)

    In your example, the presence of parentheses doesn't make any real difference, but you should keep the concept in mind. But here is what your formula really means:

    3 (x + 20) = 3*x + 3*20 = 3x + 60

    So the full expression is:

    3x + 60 + x + 20 + x = (3x + x +x) + (60 +20) = 5x + 80

    Setting that expression back into the equality:

    5x + 80 = 180

    Subtracting 80 from both sides:

    5x = 100

    Divide both sides by 5:

    x = 20

  • Anonymous
    1 decade ago

    First, distribute the 3 into the (x+20) and get:

    3x + 60 + x + 20 + x = 180

    On the left side, 60+20 = 80, and on the right side, you have 180. So subtract 80 from both sides:

    3x + x + x = 100

    Now combine ''like terms'' , like the x's on the left:

    5x = 100

    Now divide both sides by 5, because you need x by itself:

    x = 20

    Good luck!

  • 1 decade ago

    3 (x + 20) + (x + 20) + x = 180

    3x + 60 + x + 20 + x = 180 -expanding

    = 3x + x + x + 60 + 20 =180 -Grouping like terms

    5x + 80 = 180

    5x = 180 - 80

    5x = 100

    x = 100/5 =20

    Source(s): Brain
  • 1 decade ago

    3 (x + 20) + (x + 20) + x = 180

    3x + 60 + x + 20 + x = 180

    3x + x + x = 180- 60 -20

    5x = 100

    x = 100/5

    x = 20

  • 1 decade ago

    3x + 60 + x+ 20+ x =180

    5x + 80 =180

    5x = 180 - 80

    5x = 100

    x = 20

    p/s:do you know that the number inside of the brackets hav to be times with the number outside of the bracket

    *2(y + 9)..means...2 x y.=2y.and 2 x 9.=18..so the overall answer for this example is ..= 2y + 18

    Source(s): by the writer of your math book
  • Anonymous
    1 decade ago

    3 * (x+20) is:

    3*x=3x

    3*20=60

    (x+20)=x+20

    3x + 60 + x + 20 +x =180

    Add all the like terms.

    5x+80=180

    Subtract 80 from both sides.

    5x=100

    Divide by 5.

    x=20

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