document.write( "Question 165347: Please help me solve this problem. I would appreciate step by step so that it can help me with other exercises.
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document.write( "-6x+2x+6+5x=/0-9/-/-6+5/ \n" );
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Algebra.Com's Answer #121884 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! i'm assuming those are parentheses rather than slashes. \n" ); document.write( "your equation looks to me like it should be: \n" ); document.write( "-6x + 2x + 6 + 5x = (0-9) - (-6+5) \n" ); document.write( "if you really meant slashes then i have no idea what you are talking about. \n" ); document.write( "assuming you meant parentheses, this would be solved as follows: \n" ); document.write( "----- \n" ); document.write( "first you solve within the parentheses going from left to right using the hierarchy of algebraic operations (exponentiation, multiplication and division, addition and subtraction). \n" ); document.write( "----- \n" ); document.write( "since 0-9 = -9, and -6 + 5 = -1, the equation becomes: \n" ); document.write( "-6x + 2x + 6 + 5x = (-9) - (-1) \n" ); document.write( "----- \n" ); document.write( "you combine like terms by performing indicated algebraic operations on them. \n" ); document.write( "----- \n" ); document.write( "-6x + 2x + 5x becomes 7x - 6x becomes x \n" ); document.write( "-9 - (-1) becomes -9 + 1 becomes -8 \n" ); document.write( "----- \n" ); document.write( "after you have combined like terms on each side of the equation, it becomes: \n" ); document.write( "x + 6 = -8 \n" ); document.write( "----- \n" ); document.write( "you subtract 6 from both sides of the equation to get \n" ); document.write( "x = -8 - 6 \n" ); document.write( "which becomes \n" ); document.write( "x = -14 \n" ); document.write( "----- \n" ); document.write( "you prove your solution is correct by substituting -14 for x in the original equation. \n" ); document.write( "----- \n" ); document.write( "-6x + 2x + 6 + 5x = (0-9) - (-6+5) becomes \n" ); document.write( "(-6*-14) + (2*-14) + 6 + (5*-14) = (0-9) - (-6+5) \n" ); document.write( "performing all the indicated operations within the parentheses makes the equation become: \n" ); document.write( "84 - 28 + 6 - 70 = -9 - (-1) \n" ); document.write( "combining like terms on each side of the equation by performing all the indicated operations on them makes the equation become: \n" ); document.write( "-8 = -9+1 \n" ); document.write( "which becomes \n" ); document.write( "-8 = -8 \n" ); document.write( "since both sides of the equation are the same, the value of x = -14, when substituted in the equation, proves to be correct. \n" ); document.write( "----- \n" ); document.write( "gonzo@gmx.us \n" ); document.write( " |