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Math Help - [SOLVED] help!! how do you solve this linear equation

  1. #1
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    [SOLVED] help!! how do you solve this linear equation

    x/4-5/8=x+3/16
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  2. #2
    Senior Member DeMath's Avatar
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    We solve this equation as usual

    \frac{x}{4} - \frac{5}{8} = x + \frac{3}{{16}} \Leftrightarrow 4x - 10 = 16x + 3 \Leftrightarrow 12x =  - 13 \Leftrightarrow x =  - \frac{{13}}{{12}}.
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  3. #3
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    This is more of a Pre-Algebra/Algebra problem than a Pre-Calculus problem.

    Quote Originally Posted by icecreamfrk09 View Post
    x/4-5/8=x+3/16
    Please learn to type in LaTex, or at the very least, use parentheses. What you posted is vague. Do you mean what DeMath posted above, or do you mean this?

    \frac{x}{4} - \frac{5}{8} = \frac{x + 3}{16}

    If so, you're obviously going to get a different answer. Start by multiplying both sides by 16:

    \begin{aligned}<br />
4x - 10 &= x + 3 \\<br />
3x &= 13 \\<br />
x &= \frac{13}{3}<br />
\end{aligned}


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  4. #4
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    Quote Originally Posted by DeMath;339888 and edited by Mr F (see below)
    We solve this equation as usual

    \frac{x}{4} - \frac{5}{8} = x + \frac{3}{{16}}

    Now multiply each side of this equation by 16:

     \Leftrightarrow 4x - 10 = 16x + 3 \Leftrightarrow 12x = - 13 \Leftrightarrow x = - \frac{{13}}{{12}}.
    Thought I'd just add a small bit of explanation.
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