document.write( "Question 896492: If you multiply an unknown number by 6 and then add 5, the result is 7 less than the unknown number plus 1 multiplied by 3. Find the ‘known number’. \n" ); document.write( "
Algebra.Com's Answer #543577 by JulietG(1812)![]() ![]() You can put this solution on YOUR website! Let x be the unknown number \n" ); document.write( "6x+5=((x+1)*3)-7 \n" ); document.write( "Start inside the parentheses by multiplying x+1 by 3 \n" ); document.write( "6x+5 = (3x+3)-7 \n" ); document.write( "Add \n" ); document.write( "6x+5 = 3x-4 \n" ); document.write( "Subtract 3x from each side \n" ); document.write( "3x+5=-4 \n" ); document.write( "Subtract 5 from each side \n" ); document.write( "3x = -9 \n" ); document.write( "Divide each side by 3 \n" ); document.write( "x = -3 \n" ); document.write( " \n" ); document.write( "Let's check. \n" ); document.write( "multiply an unknown number by 6 (6*-3=-18)and then add 5 (-18+5=-13), the result is 7 less than the unknown number plus 1 (-3+1=-2) multiplied by 3 (-2*3=-6). \n" ); document.write( "Seven less than -6 is -13. \n" ); document.write( " |