document.write( "Question 123582: I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations..\r
\n" ); document.write( "\n" ); document.write( "((5x + 6)/ (2)) = ((9x - 3)/ (3))\r
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\n" ); document.write( "\n" ); document.write( "What i've tried so far is: X the / so that the next line is simply ... 2(5x + 6) = 3(9x - 3)... but it doesnt seem to really look right when i solve it.. i'm not sure.
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Algebra.Com's Answer #90666 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I have to solve the linear equation. Should be simple but i honestly can't figure out how to do these longer equations..
\n" ); document.write( "\"%28%285x+%2B+6%29%29%2F2\" = \"%28%289x+-+3%29%29%2F3\"
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\n" ); document.write( "It looks like you wanted to cross multiply, however, that would be:
\n" ); document.write( "2(9x -3) = 3(5x + 6)
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\n" ); document.write( "Multiply what is inside the brackets:
\n" ); document.write( "18x - 6 = 15x + 18
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\n" ); document.write( "Add 6 to both sides:
\n" ); document.write( "18x = 15x + 18 + 6
\n" ); document.write( "18x = 15x + 24
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\n" ); document.write( "Subtract 15x from both sides
\n" ); document.write( "18x - 15x = 24
\n" ); document.write( "3x = 24
\n" ); document.write( "x = \"24%2F3\"; divided both sides by 3
\n" ); document.write( "x = 8
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\n" ); document.write( "Check solution in original equation, substitute 8 for x:
\n" ); document.write( "\"%28%285%288%29+%2B+6%29%29%2F2\" = \"%28%289%288%29+-+3%29%29%2F3\"
\n" ); document.write( "\"%28%2840+%2B+6%29%29%2F2\" = \"%28%2872+-+3%29%29%2F3\"
\n" ); document.write( "\"46%2F2\" = \"69%2F3\"
\n" ); document.write( "23 = 23 proved our solution of x = 8
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\n" ); document.write( "Did this help you? Any questions?
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