Question 195164
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I presume you mean 


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2x - 4}{3} + 7 = 4]


rather than


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2x - 4}{3 + 7} = 4]


or


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x - \frac{4}{3} + 7 = 4]


Use parentheses next time so that it is clear.  <u>(2x-4/3) + 7 = 4</u> or <u>(2x-4)/(3 + 7) = 4</u> or <u>2x -(4/3) + 7 = 4</u>


Presuming:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2x - 4}{3} + 7 = 4]


<b><i>Step 1</i></b>  Add -7 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2x - 4}{3} + 7 - 7 = 4 - 7]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2x - 4}{3}= -3]


<b><i>Step 2</i></b> Multiply both sides by 3:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 3\cdot\frac{2x - 4}{3}= -3\cdot3]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x - 4= -9]


<b><i>Step 3</i></b> Add 4 to both sides:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x - 4 + 4 = -9 + 4]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2x = -5]


<b><i>Step 4</i></b> Multiply both sides by *[tex \LARGE {1 \over 2}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \left(\frac{1}{2}\right)\cdot 2x = -5\cdot\left(\frac{1}{2}\right)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x = -\frac{5}{2}]


Done.


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