Find the value of x (this is the angles of a triangle) (X-13)+x+(×/5+6)=180

Question

Find the value of x (this is the angles of a triangle)
(X-13)+x+(×/5+6)=180

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Nick 5 years 2021-09-04T11:39:02+00:00 1 Answers 19 views 0

Answers ( )

  1. Bo
    0
    2021-09-04T11:40:24+00:00
    Reply

    Answer:

    72 85 23

    Step-by-step explanation:

    Equation

    (x – 13) + (x/5 + 6) + x = 180                Multiply the equation by 5

    Solution

    5(x – 13) + 5(x/5 + 6) + 5x = 180*5     Remove the brackets

    5x – 65 + x + 30 + 5x = 900              Combine like terms on the left

    11x – 35 = 900                                    Add 35 to both sides

          35       35

    11x = 935

    x = 85

    Answer

    x – 13 = 85 – 13 =         72

    x                      =          85

    x/5 + 6 = 17 + 6 =        23

    Total =                        180

    It might be easier not to multiply through by 5 at the beginning

    (x – 13) + (x/5 + 6) + x = 180              Remove the brackets

    x – 13 + x/5 + 6 + x = 180                 Combine like terms

    2x + x/5 — 7 = 180

    x/5    =   .2x                                     Put 0.2x in for x/5

    2.2x – 7= 180                                   Add 7 to both sides

              7      7

    2.2x = 187                                       Divide by 2.2

    x = 187/2.2

    x = 85

    Take your pick. Both methods will give the same answer.

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