document.write( "Question 1208187: 2x+15= -3x \n" ); document.write( "

Algebra.Com's Answer #846431 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "To solve this equation, add 3x to both side.  You will get\r\n" );
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document.write( "    2x + 15 + 3x = -3x + 3x,\r\n" );
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document.write( "    5x + 15 = 0.\r\n" );
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document.write( "Now subtract 15 from both sides.  You will get\r\n" );
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document.write( "    5x + 15 - 15 = 0 - 15\r\n" );
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document.write( "    5x = - 15.\r\n" );
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document.write( "Now divide both sides by 5.  You will get\r\n" );
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document.write( "     x = -15/5 = -3.\r\n" );
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document.write( "ANSWER.  x = -3  is the solution.\r\n" );
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document.write( "CHECK.   Left side value is  2x + 15 = 2*(-3) + 15 = -6 + 15 = 9.\r\n" );
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document.write( "         Right side value is  -3x = -3*(-3) = 9.\r\n" );
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document.write( "         Left side value is equal to the right side value; so, the solution is correct.\r\n" );
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document.write( "The algorithm of solution is THIS:\r\n" );
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document.write( "    - collect the terms with x in the left side of the equation;\r\n" );
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document.write( "    - collect the constant terms in the right side;\r\n" );
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document.write( "    - combine the terms with x in the left side;\r\n" );
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document.write( "    - combine the constant terms in the right side;\r\n" );
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document.write( "    - you will get an equation of the form ax = b.  \r\n" );
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document.write( "    - If coefficient \"a\" is not zero, divide both sides of the equation by \"a\".\r\n" );
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document.write( "    - You will get  x = .  It is the solution to given equation.\r\n" );
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document.write( "    - When the solution is obtained, make a check.\r\n" );
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document.write( "      To do it, compute separately left side of the equation and right side.\r\n" );
document.write( "      If the computed values coincide, the solution is correct.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is how students solve simple and simplest linear equations.\r
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\n" ); document.write( "\n" ); document.write( "What to do and what happens if coefficient \"a\" is zero, they learn later.\r
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\n" ); document.write( "\n" ); document.write( "If you want to see many samples on solving simple and simplest linear equations, look into the lesson\r
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\n" ); document.write( "\n" ); document.write( "Consider this lesson as your textbook, handbook, tutorial and (free of charge) home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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