5/8-x=5/3x (These are both fractions)

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- Nov 4th 2007, 01:51 PMTammy07Solving an equation
5/8-x=5/3x (These are both fractions)

- Nov 4th 2007, 05:36 PMxslim12
5/8=(5/3)x-x

5/8=(2/3)x

multiply by reciprocal of 2/3 to get the x on its own and you are left with

15/16=x - Nov 4th 2007, 06:08 PMtopsquark
Is it possible your equation is

$\displaystyle \frac{5}{8 - x} = \frac{5}{3x}$?

If so, multiply both sides of the equation by $\displaystyle (8 - x) \cdot (3x)$ to get rid of those fractions. (And remind yourself at the end that x can't be either 0 nor 8.)

$\displaystyle 5(3x) = 5(8 - x)$ <-- Now divide both sides by 5

$\displaystyle 3x = 8 - x$

$\displaystyle 4x = 8$

$\displaystyle x = 2$

-Dan