document.write( "Question 895610: How do you solve 2/3x-6=12? I have tried turning all of it into fractions. but I am not sure on how to do that. Please help me.\r
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document.write( " Charlotte \n" );
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Algebra.Com's Answer #542925 by DrBeeee(684) ![]() You can put this solution on YOUR website! You said the magic word, please. \n" ); document.write( "Your problem falls into the category of \"Simlify an algebraic equation.\" \n" ); document.write( "I had the same trouble with this type of problem (many years ago) until I discovered the secret - \n" ); document.write( "\"Whatever arithmetic operation you do to the left side (LS) of the equation MUST be performed to the right side (RS).\" \n" ); document.write( "The reason is the EQUAL SIGN. If you don't do the same to each side it will not be equal anymore. \n" ); document.write( "The given equation is \n" ); document.write( "(1) (2/3)*x - 6 = 12 \n" ); document.write( "The object of simplification is to end up with only the variable (x in this case) on one side, all by itself. \n" ); document.write( "Usually the first arithmetic operatio is to add or subtract terms from each side. \n" ); document.write( "For the equation (1), we want to add 6 to BOTH sides to get \n" ); document.write( "(2) (2/3)*x - 6 + 6 = 12 + 6 or \n" ); document.write( "(3) (2/3)*x + 0 = 18 or \n" ); document.write( "(4) (2/3)*x = 18 \n" ); document.write( "The next step is to multiply or divide BOTH sides by the same number. \n" ); document.write( "For (4) multiply BOTH sides by 3 and get \n" ); document.write( "(5) 3*(2/3)*x = 3*18 or \n" ); document.write( "(6) 2*x = 54 \n" ); document.write( "Now divide BOTH sides by 2 and get \n" ); document.write( "(7) 2*x/2 = 54/2 or \n" ); document.write( "(8) x = 27 \n" ); document.write( "Thanks for reading. \n" ); document.write( "Sorry, didn't have time to finish. Always check your answer. \n" ); document.write( "Is (2/3*27 - 6 = 12)? \n" ); document.write( "Is (2*9 - 6 = 12)? \n" ); document.write( "Is (18 - 6 = 12)? \n" ); document.write( "Is (12 = 12)? Yes \n" ); document.write( "Answer: x = 27 \n" ); document.write( "Thanks again\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |