document.write( "Question 70487: (2x – 5)/3 – 3/2 = (x + 4)/5\r
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document.write( "Solve for x \n" );
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Algebra.Com's Answer #50267 by pleasuretohelp(9)![]() ![]() ![]() You can put this solution on YOUR website! (2x – 5)/3 – 3/2 = (x + 4)/5\r \n" ); document.write( "\n" ); document.write( "First, we group the ones that have an x together. \n" ); document.write( "Move (x + 4)/5 to the left, so we have: \n" ); document.write( "(2x – 5)/3 – 3/2 - (x + 4)/5 = 0\r \n" ); document.write( "\n" ); document.write( "Second, since - 3/2 does not have an x, we move it to the right. \n" ); document.write( "(2x – 5)/3 – (x + 4)/5 = 3/2\r \n" ); document.write( "\n" ); document.write( "Third, find the common denominator. \n" ); document.write( "The common denominator for 3, 2, and 5 is 30. \n" ); document.write( "(10 * (2x – 5)/(3 * 10)) – (6 * (x + 4)/(5 * 6)) = (15 * 3/(2 * 15))\r \n" ); document.write( "\n" ); document.write( "Fourth, simplify the whole equation. \n" ); document.write( "(20x - 50)/30 - (6x + 24)/30 = 45/30\r \n" ); document.write( "\n" ); document.write( "Fifth, since all of them have the same common denominator, we can eliminate it from the equation. \n" ); document.write( "(20x - 50) - (6x + 24) = 45\r \n" ); document.write( "\n" ); document.write( "Sixth, we can simplify the equation. \n" ); document.write( "20x - 50 - 6x - 24 = 45 \n" ); document.write( "14x - 74 = 45\r \n" ); document.write( "\n" ); document.write( "Sixth, move - 74 to the right. \n" ); document.write( "14x = 45 + 74 \n" ); document.write( "14x = 119\r \n" ); document.write( "\n" ); document.write( "Seventh, divide both sides by 14. \n" ); document.write( "14x/14 = 119/14 \n" ); document.write( "x = 8 1/2 \n" ); document.write( " |