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Thread: Can you help

  1. #1
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    Can you help

    translate into an equation then solve
    the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two
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  2. #2
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    Quote Originally Posted by maxmac97
    translate into an equation then solve
    the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two
    $\displaystyle x+(8x-5)=13+(2)\cdot (x-2)$
    Thus, watch those signs
    $\displaystyle 9x-5=13+2x-4$
    Subtract $\displaystyle 2x$ from both sides,
    $\displaystyle 7x-5=9$
    Add 5,
    $\displaystyle 7x=14$
    Thus,
    $\displaystyle x=14/7=2$.
    -----
    I am confused by
    difference of x and two
    It can mean $\displaystyle 2-x$ and even,
    $\displaystyle |x-2|$
    That is the wording that holds me in confusion.
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  3. #3
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    Quote Originally Posted by maxmac97
    translate into an equation then solve
    the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two
    Hello,

    maybe you mean
    $\displaystyle 8x-(x+5)=13+2(x-2)$ (?) Expand both sides
    $\displaystyle 8x-x-5=13+2x-4$
    $\displaystyle 7x-5=2x+9$
    $\displaystyle 5x=14\ \Longleftrightarrow \ x=\frac{14}{5}$

    Greetings

    EB
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