document.write( "Question 414505: solve the following equation:\r
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document.write( "1/7(x-20)=1/5(x-28) \n" );
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Algebra.Com's Answer #290745 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! solve the following equation: \n" ); document.write( "1/7(x - 20) = 1/5(x - 28)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can get rid of the fractions by multiplying the entire \n" ); document.write( "equation by the least common denominator of the fractions, which is 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "35[1/7(x - 20) = 1/5(x - 28] {multiplied entire equation by LCD, 35} \n" ); document.write( "35[1/7(x - 20)] = 35[1/5(x - 28)] {multiplied each term by 35} \n" ); document.write( "5(x - 20) = 7(x - 28) {cancelled and multiplied what's left} \n" ); document.write( "5x - 100 = 7x - 196 {used distributive property} \n" ); document.write( "5x = 7x - 96 {added 100 to both sides} \n" ); document.write( "-2x = -96 {subtracted 7x from both sides} \n" ); document.write( "x = 48 {divided both sides by -2} \n" ); document.write( "www.algebrahouse.com \n" ); document.write( " |