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how do you solve this? 5(2x-6)=3x-2

 Aug 19, 2015

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 #2
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$${\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{6}}\right) = {\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$

Angelo

 Aug 19, 2015
 #1
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5(2x - 6)  =  3x - 2

First: remove parentheses:

10x - 30  =  3x - 2

Then:  get all the x-terms to one side; subtract 3x from both sides:

7x - 30  =  -2

Now:  get all the numbers to the other side; add 30 to both sides:

7x  =  28

Finally, divide both sides 7:

x  =  4

 Aug 19, 2015
 #2
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Best Answer

$${\mathtt{5}}{\mathtt{\,\times\,}}\left({\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{6}}\right) = {\mathtt{3}}{\mathtt{\,\times\,}}{\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{2}} \Rightarrow {\mathtt{x}} = {\mathtt{4}}$$

Angelo

Guest Aug 19, 2015

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