document.write( "Question 73252: Can someone please help me solve and graph? Thanks!\r
\n" ); document.write( "\n" ); document.write( " {x+2} = 3 the parenthesis is absolute value. I believe the answer is -5,1. But, I'm not sure how to show the work out.
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Algebra.Com's Answer #52470 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
\"abs%28x%2B2%29+=+3\"
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\n" ); document.write( "You have both answers correct. Here's one way that you can do the math. It involves
\n" ); document.write( "solving two equations.
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\n" ); document.write( "Begin by pulling the quantity out of the absolute value signs. In this problem that quantity
\n" ); document.write( "is (x+2).
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\n" ); document.write( "For the first equation set up and solve the problem with a plus sign in front of the quantity:
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\n" ); document.write( "\"%2B%28x%2B2%29+=+3\"
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\n" ); document.write( "Since the parentheses are preceded by a plus sign, you can just remove them and the equation
\n" ); document.write( "becomes:
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\n" ); document.write( "\"x%2B2+=+3\"
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\n" ); document.write( "Subtract 2 from both sides of this equation to eliminate the 2 on the left side and the
\n" ); document.write( "equation is then:
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\n" ); document.write( "\"x+=+1\"
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\n" ); document.write( "This is one of the answers you are looking for.
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\n" ); document.write( "Now recall that near the start we set up the equation with a plus sign in front of the quantity.
\n" ); document.write( "Well, let's do that again EXCEPT this time we'll put a minus sign in front of the quantity.
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\n" ); document.write( "\"-%28x%2B2%29+=+3\"
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\n" ); document.write( "When you remove the parentheses this time the minus sign in front of them makes it necessary
\n" ); document.write( "to change the sign of everything inside the parentheses. [In effect you are multiplying
\n" ); document.write( "the quantity by minus 1.] So the resulting equation is:
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\n" ); document.write( "\"-x-2+=+3\"
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\n" ); document.write( "Add 2 to both sides of the equation to eliminate the -2 on the left side. Adding this 2
\n" ); document.write( "makes the equation become:
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\n" ); document.write( "\"-x+=+5\"
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\n" ); document.write( "To solve for x just multiply both sides of the equation by -1 to get:
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\n" ); document.write( "\"x+=+-5\"
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\n" ); document.write( "Now you have both answers. One of the answers is x = 1 and the other answer is x = -5.
\n" ); document.write( "The graph of these two answers is the number line with dots at +1 and -5 as shown below:
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\n" ); document.write( "\"number_line%28600%2C-10%2C10%2C-5%2C%2B1%29\"
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\n" ); document.write( "I hope this method makes it easier for you to work these problems.
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