document.write( "Question 166459: 7x-2 divided by 10 = 9x divided by 4 + 6
\n" ); document.write( "I understand that I must get rid of the fractions first but cannot determine how to do this with the fractions on both sides. If I multipy by 10 on the right side and left side do I then multipy by 4 on both sides.
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Algebra.Com's Answer #122710 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
7x-2 divided by 10 = 9x divided by 4 + 6
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\n" ); document.write( "\"%28%287x-2%29%29%2F10\" = \"%289x%29%2F4\" + 6
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\n" ); document.write( "Multiply equation by common denominator, a value which is a multiple of 10 and 4
\n" ); document.write( "20 would do this for us
\n" ); document.write( "20*\"%28%287x-2%29%29%2F10\" = 20*\"%289x%29%2F4\" + 20(6)
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\n" ); document.write( "Cancel out the denominators and you have:
\n" ); document.write( "2(7x - 2) = 5(9x) + 120
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\n" ); document.write( "14x - 4 = 45x + 120
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\n" ); document.write( "14x - 45x = 120 + 4
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\n" ); document.write( "-31x = 124
\n" ); document.write( "x \"124%2F%28-31%29\"
\n" ); document.write( "x = -4
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\n" ); document.write( "Check solution in original equation:
\n" ); document.write( "\"%28%287%28-4%29-2%29%29%2F10\" = \"%289%2A-4%29%2F4\" + 6
\n" ); document.write( "\"%28%28-28-2%29%29%2F10\" = \"%28-36%29%2F4\" + 6
\n" ); document.write( "\"%28%28-30%29%29%2F10\" = \"%28-36%29%2F4\" + 6
\n" ); document.write( "-3 = -9 + 6; confirms our solution
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