document.write( "Question 178267: -1/9(x-27)+1/3(x+3)=x+11 \n" ); document.write( "

Algebra.Com's Answer #133225 by EMStelley(208) $\"\"$ $\"About$

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$\"%28-1%2F9%29%28x-27%29%2B%281%2F3%29%28x%2B3%29=x%2B11\"$
\n" ); document.write( "The first step is to distribute through the -1/9 and 1/3 on the left hand side:
\n" ); document.write( " $\"%28-1%2F9%29x%2B%28-1%2F9%29%28-27%29%2B%281%2F3%29x%2B%281%2F3%29%283%29=x%2B11\"$
\n" ); document.write( " $\"%28-1%2F9%29x%2B3%2B%281%2F3%29x%2B1=x%2B11\"$
\n" ); document.write( "Now, we will combine like terms on the left hand side: Notice that to combine the (-1/9)x and (1/3)x we have to transform 1/3 into 3/9 so that we have a common denominator. So,
\n" ); document.write( " $\"%28-1%2F9%29x%2B%283%2F9%29x%2B4=x%2B11\"$
\n" ); document.write( " $\"%282%2F9%29x%2B4=x%2B11\"$
\n" ); document.write( "Now, subtract 4 from both sides:
\n" ); document.write( " $\"%282%2F9%29x=x%2B7\"$
\n" ); document.write( "Subtract x from both sides (remember that x is the same as (9/9)x)
\n" ); document.write( " $\"%28-7%2F9%29x=7\"$
\n" ); document.write( "Last, divide both sides by -7/9, which is the same as multiplying by -9/7. So
\n" ); document.write( " $\"x=7%28-9%2F7%29=-9\"$
\n" ); document.write( "Thus, we have that x=-9. \n" ); document.write( "

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