document.write( "Question 42103: Six times the sum of a number and -15 is 76 more than four times the number. Find the number. (show your work)
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Algebra.Com's Answer #27235 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! Translate the English words into mathematical symbols and operations. The word \"sum\" means addition. \"A number\" is the unknown number and can be represented by \"x\" or \"n\" or some other variable. \"More than\" is to add to a number. \"Times\" means to multiply. Usually \"is\" means \"equals\".\r \n" ); document.write( "\n" ); document.write( "6[x+)-15)] = 4x + 76 \n" ); document.write( "Simplify \n" ); document.write( "6x-90 = 4x + 76 \n" ); document.write( "Solve for x \n" ); document.write( "6x - 4x -90 = 4x -4x + 76 \n" ); document.write( "2x -90 = 76 \n" ); document.write( "2x -90 + 90 = 76 + 90 \n" ); document.write( "2x = 166 \n" ); document.write( "2x/2 = 166/2 \n" ); document.write( "X = 83\r \n" ); document.write( "\n" ); document.write( "Check the answer by plugging x=83 back into the original equation. Both sides of the equation should be equal. \n" ); document.write( " \n" ); document.write( " |