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

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- Apr 22nd 2006, 05:32 PMmaxmac97Can 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 PMThePerfectHackerQuote:

Originally Posted by**maxmac97**

Thus, watch those signs :eek:

$\displaystyle 9x-5=13+2x-4$

Subtract $\displaystyle 2x$ from both sides,

$\displaystyle 7x-5=9$

Add 5,

$\displaystyle 7x=14$

Thus,

$\displaystyle x=14/7=2$.

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I am confused by

Quote:

difference of x and two

$\displaystyle |x-2|$

That is the wording that holds me in confusion. - Apr 23rd 2006, 10:35 AMearbothQuote:

Originally Posted by**maxmac97**

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