document.write( "Question 1203486: solve the following equation\r
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document.write( "2x-{x-[3x-(8x+7)]}=4x+1 \n" );
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Algebra.Com's Answer #839091 by ikleyn(52864) You can put this solution on YOUR website! . \n" ); document.write( "solve the following equation \n" ); document.write( "2x-{x-[3x-(8x+7)]} = 4x+1 \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" );
document.write( "To simplify equation, let's make arithmetic operations in the left side using the rules of brackets.\r\n" );
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document.write( "First calculate the expression in straight brackets\r\n" );
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document.write( " [3x - (8x+7)] = -5x - 7.\r\n" );
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document.write( "Now substitute -5x-7 instead of straight brackets and calculate expression in curly brackets\r\n" );
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document.write( " {x - [-5x-7]} = 6x + 7.\r\n" );
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document.write( "Next, substitute 6x + 7 instead of curly brackets and calculate expression in the left side\r\n" );
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document.write( " 2x - (6x+7) = -4x - 7\r\n" );
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document.write( "So, the original equation takes the form\r\n" );
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document.write( " -4x - 7 = 4x + 1.\r\n" );
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document.write( "Collect the terms with x on the right side; collect the constant terms on the left side\r\n" );
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document.write( " -7 - 1 = 4x + 4x\r\n" );
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document.write( "Combine like terms\r\n" );
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document.write( " -8 = 8x \r\n" );
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document.write( "Find x\r\n" );
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document.write( " x = (-8)/8 = -1.\r\n" );
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document.write( "ANSWER. x = -1.\r\n" );
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document.write( "CHECK. You may check it on your ow, by substituting x= -1 into the original equation.\r\n" );
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document.write( " You will get the value of -3 in the left side and the same value -3 in the right side,\r\n" );
document.write( " confirming the answer.\r\n" );
document.write( "\r\n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |