Question 716329
<font face="Times New Roman" size="+2">


Where did the X in the second term in the LHS come from?  You can't just stick variables in any place that you find convenient.


Since you cannot add the term with the variable to the constant term, there is really no reason to find denominator common to them both.  Your correct first step would be to add *[tex \LARGE \frac{1}{4}] to both sides.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{7}{12}x\ -\ \frac{1}{4}\ =\ 5]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{7}{12}x\ =\ 5\ +\ \frac{1}{4}]


Now you need a common denominator, namely common between 1 (the understood denominator under the 5) and 4, namely 4.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{7}{12}x\ =\ \frac{20}{4}\ +\ \frac{1}{4}\ =\ \frac{21}{4}]


Now multiply both sides by the reciprocal of the coefficient on the variable, namely *[tex \LARGE \frac{12}{7}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{21}{4}\,\cdot\,\frac{12}{7}\ =\ 9] 


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
<font face="Math1" size="+2">Egw to Beta kai to Sigma</font>
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>