# 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

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

difference of x and two
It can mean $2-x$ and even,
$|x-2|$
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
$8x-(x+5)=13+2(x-2)$ (?) Expand both sides
$8x-x-5=13+2x-4$
$7x-5=2x+9$
$5x=14\ \Longleftrightarrow \ x=\frac{14}{5}$

Greetings

EB