Question 240530
<font face="Garamond" size="+2">


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8(x\ -\ 3)\ +\ 12x\ =\ 15\ -\ (2x\ +\ 3)]


Distribute to remove parentheses.  Remember *[tex \Large -\ (2x\ +\ 3)] has a coefficient of -1.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ -8x\ +\ 24\ +\ 12x\ =\ 15\ -\ 2x\ -\ 3]


Collect like terms:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 24\ +\ 4x\ =\ 12\ -\ 2x\]


Add *[tex \Large 2x] to both sides and add *[tex \Large -24] to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 24\ -\ 24\ +\ 4x\ +\ 2x\ =\ 12\ -\ 24\ -\ 2x\ +\ 2x]


Collect like terms:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 6x\ =\ -12]


Multiply both sides by the reciprocal of the coefficient on the variable, namely  *[tex \Large \frac{1}{6}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -2]


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