document.write( "Question 99293: how do i figure out 2(x+4)-5(x-3)=32 \n" ); document.write( "
Algebra.Com's Answer #72473 by bucky(2189)\"\" \"About 
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Given:
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\n" ); document.write( "2(x+4)-5(x-3)=32
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\n" ); document.write( "The first thing to do is the two distributed multiplications on the left side of this equation.
\n" ); document.write( "Multiply the 2 times each of the two terms in its set of parentheses. When you do that you
\n" ); document.write( "are multiplying 2 times x and then adding to that 2 times +4. This makes the first distributed
\n" ); document.write( "multiplication become 2x + 8.
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\n" ); document.write( "Then do the distributed multiplication of -5 times each of the two terms inside its corresponding
\n" ); document.write( "set of parentheses. So you are multiplying -5 times x to get -5x and then you are multiplying
\n" ); document.write( "-5 times -3 to get +15. So the result of this multiplication is -5x + 15.
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\n" ); document.write( "Substitute these two results for the distributed multiplications you were given and the
\n" ); document.write( "left side of the equation changes in the equation as follows:
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\n" ); document.write( "2x + 8 - 5x + 15 = 32
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\n" ); document.write( "On the left side combine the -5x and the +2x to get -3x and the equation becomes:
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\n" ); document.write( "-3x + 8 + 15 = 32
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\n" ); document.write( "Then on the left side combine the +8 and +15 to get +23. This simplifies the equation to:
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\n" ); document.write( "-3x + 23 = 32
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\n" ); document.write( "Get rid of the +23 on the left side by subtracting 23 from both sides to make the equation:
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\n" ); document.write( "-3x = +9
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\n" ); document.write( "Finally solve for x by dividing both sides of the equation by -3 to get:
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\n" ); document.write( "x = 9/(-3) = -3
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\n" ); document.write( "So x = -3 is the answer.
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\n" ); document.write( "Check by returning to the given equation and substituting -3 for x to see if the left side
\n" ); document.write( "of the equation will equal the right side. So start with:
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\n" ); document.write( "2(x+4)-5(x-3)=32
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\n" ); document.write( "Substitute -3 for x and this equation becomes:
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\n" ); document.write( "2(-3+4) -5(-3-3)= 32
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\n" ); document.write( "combine the numbers in the parentheses and the equation becomes:
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\n" ); document.write( "2(1) - 5(-6) = 32
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\n" ); document.write( "Multiply 2 times 1 to get 2 and multiply -5 times -6 to get +30. This makes the equation:
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\n" ); document.write( "2 + 30 = 32
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\n" ); document.write( "That is a correct equality. So x = -3 checks out OK . The answer to this problem is
\n" ); document.write( "x = -3.
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\n" ); document.write( "Hope this helps you to understand the problem and how to work it to get the answer.
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