Question:

3.2+0.70x=0.50(8+x)?

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3.2+0.70x=0.50(8+x)?

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  1. 3.2 + .7x = .5(8 + x)

    Let's use Order of Operations

    P(arenthasis)

    E(xponents)

    M(ultiplication)/D(ivision)

    A(ddition)/S(ubtraction)

    Parenthases first -> (8 + x)

    There is nothing we can do with this because they are two different variables

    Now exponents -> there are no exponents so we do nothing

    Multiplication/division -> .5(8 + x)

    .5 times 8 is 4 and .5 times x is .5x so this part is simplified to     4+.5x

    Addidtion and subtraction -> nothing to do

    Now we have a new equation.

    3.2 + .7x = 4 + .5x

    Now we have to get all the variables on one side and the numbers on the other. We'll put the variables on the left and numbers on the right to avoid complications.

    3.2 + .7x = 4 + .5x

             -.5x         -.5x

      3.2 + .2x = 4

    -3.2            -3.2

    .2x = .8

    This reads .2 times something equals .8 so we have to find out what x is so we'll divide .8 by .2

    .8 divided by .2 is four

    Therefore, x = 4


  2. Workings

    3.2+0.70x=4+0.5x

    3.2=4+0.5x-0.70x

    3.2 =4-0.20x

    3.2 - 4= -0.20x

    - 0.8 = - 0.20x

    - 0.8 * - 5 = -5 * - 0.20x

    4 = x  final answer

  3. 3.2 + .7x = 4 + .5x

    .7x - .5x + 3.2 - 3.2 = 4 - 3.2 + .5x - .5x

    .2x = .8

    x = 4

  4. 3.2+0.70x=0.50(8+x)

    3.2+0.70x = 4+ 0.5x

    0.7x - 0.5x = 4 - 3.2

    0.2x = 0.8

    x = 0.8/0.2 = 4

    x = 4
You're reading: 3.2+0.70x=0.50(8+x)?

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