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$${{\mathtt{7}}}^{{\mathtt{x}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{7}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right) = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{393}}$$

Guest Aug 18, 2015

Best Answer 

 #1
avatar+17743 
+5

If the original problem were entered slightly incorrectly:

  7x + 7(x - 2) + 7(x + 1)  =  7·393

7x + 7· 7-2 + 7x · 71  =  7·393

(1 + 7-2 + 7) · 7x  =  7·393

(1 + 1/49 + 7) · 7x  =  7·393

(393/49) · 7x  =  7·393

 7x  = (7·393)·(49/393)

 7x  = 7·49 = 73

x = 3

geno3141  Aug 18, 2015
 #1
avatar+17743 
+5
Best Answer

If the original problem were entered slightly incorrectly:

  7x + 7(x - 2) + 7(x + 1)  =  7·393

7x + 7· 7-2 + 7x · 71  =  7·393

(1 + 7-2 + 7) · 7x  =  7·393

(1 + 1/49 + 7) · 7x  =  7·393

(393/49) · 7x  =  7·393

 7x  = (7·393)·(49/393)

 7x  = 7·49 = 73

x = 3

geno3141  Aug 18, 2015
 #2
avatar
0

$${{\mathtt{7}}}^{{\mathtt{x}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{7}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}}\right)}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}\left({\mathtt{x}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1}}\right) = {\mathtt{7}}{\mathtt{\,\times\,}}{\mathtt{393}} \Rightarrow {\mathtt{x}} = {\mathtt{\,-\,}}{\frac{\left({\mathtt{50}}{\mathtt{\,\times\,}}{{\mathtt{7}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}}\right)}{\mathtt{\,-\,}}{\mathtt{2\,744}}\right)}{{\mathtt{7}}}}$$

Easy one and difficulty:normal 

Guest Aug 19, 2015

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