document.write( "Question 136140: [2x-5]=[9x+7] Please help \n" ); document.write( "
Algebra.Com's Answer #99691 by vleith(2983)\"\" \"About 
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For problems in one variable, you need to isolate the variable on one side of the equation.\r
\n" ); document.write( "\n" ); document.write( "Given: \"2x-5=9x%2B7\"\r
\n" ); document.write( "\n" ); document.write( "First collect the terms containing the variable on one side and the constant terms on the other side. To do this, subtract 2x from both sides and then subtract (-7) from both sides. Think of the equal sign as a 'balance' point. Whatever you do to one side, you have to do to the other in order to remain in balance.\r
\n" ); document.write( "\n" ); document.write( "\"-5+-7+=9x-2x\"\r
\n" ); document.write( "\n" ); document.write( "\"-12+=+7x\" \r
\n" ); document.write( "\n" ); document.write( "Now isolate the variable, by dividing both sides by 7
\n" ); document.write( "\"-12%2F7+=+x+\"\r
\n" ); document.write( "\n" ); document.write( "Now check your answer by substituting \"-12%2F7\" for x in the original equation.\r
\n" ); document.write( "\n" ); document.write( "Does \"%282+%2A+%28-12%2F7%29+-+5%29+=+%289+%2A+%28-12%2F7%29+%2B+7%29+\"
\n" ); document.write( "\"%28-24%2F7%29+-+5+=+%28-108%2F7%29+%2B+7\"
\n" ); document.write( "\"-24+-+35+=+-108+%2B+49+\" Check!\r
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