Question 44291
<pre><font size = 4><b>Translate: Eight times the difference between four times a number and
five is equal to twenty more than twice the number. Not sure if my 
translation is correct.   8(4n)+5=20+2n

>>...Eight times the difference between four times <font color = "red">a number</font> and five 
is equal to twenty more than twice <font color = "red">the number</font>...<<

Replace the words "<font color = "red">a number</font>" and "<font color = "red">the number</font>" by <font color = "red">n</font>, so we now have:

>>...Eight times the difference between four times <font color = "red">n</font> and five is equal
to twenty more than twice <font color = "red">n</font>...<<

>>...Eight times the difference between <font color = "blue">four times n</font> and five is equal
to twenty more than <font color = "blue">twice n</font>...<<

Replace the words "<font color = "blue">four times n</font>" by "<font color = "blue">4n</font>" and "<font color = "blue">twice n</font>" by "<font color = "blue">2n</font>", so we 
now have:

>>...Eight times the difference between <font color = "blue">4n</font> and five is equal
to twenty more than <font color = "blue">2n</font>...<<

>>...Eight times <font color = "red">the difference between 4n and five</font> is equal
to <font color = "red">twenty more than 2n</font>...<<

Replace the words "<font color = "red">the difference between 4n and five</font>" by "<font color = "red">4n-5</font>" and 
"<font color = "red">twenty more than 2n</font>" by "<font color = "red">2n+20</font>", so we now have:

>>...Eight times <font color = "red">4n-5</font> is equal to <font color = "red">2n+20</font>...<<

>>...<font color = "blue">Eight times 4n-5</font> <font color = "green">is equal to</font> 2n+20...<<

Replace the words "<font color = "blue">Eight times 4n-5</font>" by "<font color = "blue">8(4n-5)</font>" and 
"<font color = "green">is equal to</font>" by "<font color = "green">=</font>", so we now have:

>>...<font color = "blue">8(4n-5)</font> <font color = "green">= </font>2n+20...<<

     8(4n-5) = 2n+20

Solve that and get

n = 2

Edwin</pre>