document.write( "Question 51399: 5[2-(2x-4)]=2(5-3x) \n" ); document.write( "

Algebra.Com's Answer #34339 by AnlytcPhil(1806) $\"\"$ $\"About$

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5[2 - (2x - 4)] = 2(5 - 3x)\r\n" );
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document.write( "We want to remove the innermost grouping symbols, the parentheses.\r\n" );
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document.write( "To get remove the parentheses -(2x - 4) first write it as -1(2x - 4)\r\n" );
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document.write( "5[2 - 1(2x - 4)] = 2(5 - 3x)\r\n" );
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document.write( "We remove the parentheses by using the distributive principle:\r\n" );
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document.write( "   5[2 - 2x + 4] = 10 - 6x\r\n" );
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document.write( "Combine the 2 and the 4\r\n" );
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document.write( "      5[6 - 2x] = 10 - 6x\r\n" );
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document.write( "       30 - 10x = 10 - 6x\r\n" );
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document.write( "Subtract 30 for both sides\r\n" );
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document.write( "           -10x = -20 - 6x\r\n" );
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document.write( "Add 6x to both sides\r\n" );
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document.write( "            -4x = -20\r\n" );
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document.write( "Divide both sides by -4\r\n" );
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document.write( "              x = 5\r\n" );
document.write( "Edwin

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