# Can you help

• Apr 22nd 2006, 05:32 PM
maxmac97
Can you help
translate into an equation then solve
the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two
• Apr 22nd 2006, 05:46 PM
ThePerfectHacker
Quote:

Originally Posted by maxmac97
translate into an equation then solve
the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two

$\displaystyle x+(8x-5)=13+(2)\cdot (x-2)$
Thus, watch those signs :eek:
$\displaystyle 9x-5=13+2x-4$
Subtract $\displaystyle 2x$ from both sides,
$\displaystyle 7x-5=9$
$\displaystyle 7x=14$
Thus,
$\displaystyle x=14/7=2$.
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I am confused by
Quote:

difference of x and two
It can mean $\displaystyle 2-x$ and even,
$\displaystyle |x-2|$
That is the wording that holds me in confusion.
• Apr 23rd 2006, 10:35 AM
earboth
Quote:

Originally Posted by maxmac97
translate into an equation then solve
the sum of x and five subtracted from eight times x is the same as thirteen plus the product of two and the difference of x and two

Hello,

maybe you mean
$\displaystyle 8x-(x+5)=13+2(x-2)$ (?) Expand both sides
$\displaystyle 8x-x-5=13+2x-4$
$\displaystyle 7x-5=2x+9$
$\displaystyle 5x=14\ \Longleftrightarrow \ x=\frac{14}{5}$

Greetings

EB