document.write( "Question 53632: Can someone help me on this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to solve for x and check my results:\r
\n" ); document.write( "\n" ); document.write( " 6x-1/5 - 2x/3 = 3\r
\n" ); document.write( "\n" ); document.write( " Thanks,
\n" ); document.write( " Sher \n" ); document.write( "

Algebra.Com's Answer #35858 by rchill(405) $\"\"$ $\"About$

You can put this solution on YOUR website!

Because you have two denominators here in fractions, you need to find the LCD. In this case, it's 15 (3*5=15). Now multiply both sides by 15: $\"15%2A6x-15%2A%281%2F5%29-15%2A%282x%2F3%29=15%2A3\"$ . Now expand the equation and we get $\"90x-3-10x=45\"$ . Combining like terms we get $\"80x-3=45\"$ , and then adding 3 to both sides yields $\"80x=48\"$ . Finally, divide both sides by 80 and we get $\"x=48%2F80\"$ , which reduces to $\"x=3%2F5\"$ .

\n" ); document.write( "To check our work, substitute the value of x in the original equation, thusly: $\"6%2A%283%2F5%29-1%2F5-%282%283%2F5%29%29%2F3=3\"$ . Expanding gives us $\"18%2F5-1%2F5-2%2F5=3\"$ , which reduces to $\"%2818-1-2%29%2F15=3\"$ , which reduces still to $\"3=3\"$ . Because 3=3 is a true statement, that means our answer of $\"x=3%2F5\"$ is correct! \n" ); document.write( "

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