document.write( "Question 211881: If 3 is added to a number and the sum is tripled, the result is 27 more than the number.\r
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Algebra.Com's Answer #160064 by gypsy1274(9) $\"\"$ $\"About$

You can put this solution on YOUR website!
Lets break this into pieces. \"If three is added to a number...\" Let the number be x and add three. x+3\r
\n" ); document.write( "\n" ); document.write( "\"...the sum is tripled...\" The x+3 should be added together before the multiplication is done so we need to use parenthesis to change the order of operations. 3*(x+3)\r
\n" ); document.write( "\n" ); document.write( "\"...the result...\" means we are finished with the left side of the equation and need to enter an =. So the equation starts out 3(x+3)=\r
\n" ); document.write( "\n" ); document.write( "\"...is 27 more than the number.\" 27+x\r
\n" ); document.write( "\n" ); document.write( "Now we know what each side of the equation is so put it together and get:
\n" ); document.write( "3(x+3)=27+x\r
\n" ); document.write( "\n" ); document.write( "Next, solve for x.
\n" ); document.write( "Step 1. distribute
\n" ); document.write( "3x+9=27+x\r
\n" ); document.write( "\n" ); document.write( "Step 2. subtract x from both sides of the equation.
\n" ); document.write( "3x+9-x=27+x-x\r
\n" ); document.write( "\n" ); document.write( "Step 3. combine like terms.
\n" ); document.write( "2x+9=27\r
\n" ); document.write( "\n" ); document.write( "Step 4. subtract 9 from both sides of the equation.
\n" ); document.write( "2x+9-9=27-9\r
\n" ); document.write( "\n" ); document.write( "Step 5. combine like terms.
\n" ); document.write( "2x=18\r
\n" ); document.write( "\n" ); document.write( "Step 6. divide both sides by 2
\n" ); document.write( "2x/2=18/2 \r
\n" ); document.write( "\n" ); document.write( "x=9\r
\n" ); document.write( "\n" ); document.write( "Or for a slightly different explaination:
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Solved by pluggable solver: EXPLAIN simplification of an expression

Your Result:

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\n" ); document.write( " YOUR ANSWER\n" ); document.write( "

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This is an equation! Solutions: x=9.
Graphical form: Equation $\"3%2A%28x%2B3%29=27%2Bx\"$ was fully solved.
Text form: 3*(x+3)=27+x simplifies to 0=0
Cartoon (animation) form: $\"simplify_cartoon%28+3%2A%28x%2B3%29=27%2Bx+%29\"$
For tutors: simplify_cartoon( 3*(x+3)=27+x )
If you have a website, here's a link to this solution.

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DETAILED EXPLANATION

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Look at $\"3%2A%28x%2B3%29=highlight_red%28+27+%29%2Bx\"$ .
Moved $\"27\"$ to the right of expression
It becomes $\"3%2A%28x%2B3%29=x%2Bhighlight_green%28+27+%29\"$ .
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Look at $\"3%2A%28x%2B3%29=highlight_red%28+x%2B27+%29\"$ .
Moved these terms to the left $\"highlight_green%28+-x+%29\"$ , $\"highlight_green%28+-27+%29\"$
It becomes $\"3%2A%28x%2B3%29-highlight_green%28+x+%29-highlight_green%28+27+%29=0\"$ .
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Look at $\"highlight_red%28+3%2A%28x%2B3%29+%29-x-27=0\"$ .
Expanded term $\"3\"$ by using associative property on $\"%28x%2B3%29\"$
It becomes $\"highlight_green%28+3%2Ax+%29%2Bhighlight_green%28+3%2A3+%29-x-27=0\"$ .
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Look at $\"3%2Ax%2Bhighlight_red%28+3+%29%2Ahighlight_red%28+3+%29-x-27=0\"$ .
Multiplied numerator integers
It becomes $\"3%2Ax%2Bhighlight_green%28+9+%29-x-27=0\"$ .
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Look at $\"3%2Ax%2Bhighlight_red%28+9+%29-x-highlight_red%28+27+%29=0\"$ .
Added fractions or integers together
It becomes $\"3%2Ax%2Bhighlight_green%28+-18+%29-x=0\"$ .
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Look at $\"3%2Ax%2Bhighlight_red%28+-18+%29-x=0\"$ .
Moved $\"-18\"$ to the right of expression
It becomes $\"3%2Ax-x%2Bhighlight_green%28+-18+%29=0\"$ .
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Look at $\"3%2Ax-x%2Bhighlight_red%28+-18+%29=0\"$ .
Removed extra sign in front of $\"-18\"$
It becomes $\"3%2Ax-x-highlight_green%28+18+%29=0\"$ .
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Look at $\"highlight_red%28+3%2Ax+%29-highlight_red%28+x+%29-18=0\"$ .
Eliminated similar terms $\"highlight_red%28+3%2Ax+%29\"$ , $\"highlight_red%28+-x+%29\"$ replacing them with $\"highlight_green%28+%283-1%29%2Ax+%29\"$
It becomes $\"highlight_green%28+%283-1%29%2Ax+%29-18=0\"$ .
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Look at $\"%28highlight_red%28+3+%29-highlight_red%28+1+%29%29%2Ax-18=0\"$ .
Added fractions or integers together
It becomes $\"%28highlight_green%28+2+%29%29%2Ax-18=0\"$ .
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Look at $\"highlight_red%28+%28highlight_red%28+2+%29%29%2Ax+%29-18=0\"$ .
Remove unneeded parentheses around factor $\"highlight_red%28+2+%29\"$
It becomes $\"highlight_green%28+2+%29%2Ax-18=0\"$ .
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Look at $\"highlight_red%28+2%2Ax-18+%29=0\"$ .
Solved linear equation $\"highlight_red%28+2%2Ax-18=0+%29\"$ equivalent to 2*x-18 =0
It becomes $\"highlight_green%28+0+%29=0\"$ .
Result: $\"0=0\"$
\n" ); document.write( "This is an equation! Solutions: x=9.

Universal Simplifier and Solver

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Done!

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