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Thread: [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

    $\displaystyle \frac{x}{4} - \frac{5}{8} = x + \frac{3}{{16}} \Leftrightarrow 4x - 10 = 16x + 3 \Leftrightarrow 12x = - 13 \Leftrightarrow x = - \frac{{13}}{{12}}.$
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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?

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

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

    $\displaystyle \begin{aligned}
    4x - 10 &= x + 3 \\
    3x &= 13 \\
    x &= \frac{13}{3}
    \end{aligned}$


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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

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

    Now multiply each side of this equation by 16:

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