Question 400100
<font face="Times New Roman" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 32x\ +\ 43\ -\ 20x\ =\ -25\ +\ 30\ -\ 45x]


First combine like terms:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 12x\ +\ 43\ =\ 5\ -\ 45x]


Add 45x to both sides and add -43 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 57x\ =\ -38]


Multiply both sides by *[tex \Large \frac{1}{57}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -\frac{38}{57}\ =\ -\frac{2}{3}]


Check:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 32\left(-\frac{2}{3}\right)\ +\ 43\ -\ 20\left(-\frac{2}{3}\right)\ =\ -25\ +\ 30\ -\ 45\left(-\frac{2}{3}\right)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -\frac{64}{3}\ +\ 43\ +\ \frac{40}{3}\ =\ -25\ +\ 30\ +\ 30]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8\ +\ 43\ =\ -25\ +\ 30\ +\ 30]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 35\ =\ 35]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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>