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

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

Angelo

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