document.write( "Question 169003This question is from textbook college algebra
\n" ); document.write( ": can somebody help me solve this equation $\"2%5E%28x%2B1%298%5E%28-x%29+=4\"$ \n" ); document.write( "

Algebra.Com's Answer #124628 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"2%5E%28x%2B1%29%2A8%5E%28-x%29+=+4\"$ Substitute $\"8+=+2%5E3\"$ and $\"4+=+2%5E2\"$
\n" ); document.write( " $\"2%5E%28x%2B1%29%2A2%5E%28-3x%29+=+2%5E2\"$ Perform the indicated multiplication by adding the exponents.
\n" ); document.write( " $\"2%5E%28x%2B1-3x%29+=+2%5E2\"$ Simplify the left side.
\n" ); document.write( " $\"2%5E%281-2x%29+=+2%5E2\"$ The bases (2) are equal so the exponents are equal.
\n" ); document.write( " $\"1-2x+=+2\"$ Subtract 1 from both sides.
\n" ); document.write( " $\"-2x+=+1\"$ Divide both sides by -2.
\n" ); document.write( " $\"highlight%28x+=+-1%2F2%29\"$
\n" ); document.write( "Check:
\n" ); document.write( " $\"2%5E%28x%2B1%29%2A8%5E%28-x%29+=+4\"$ Substitute $\"x+=+-1%2F2\"$
\n" ); document.write( " $\"2%5E%28-%281%2F2%29%2B1%29%2A8%5E%28-%28-1%2F2%29%29+=+4\"$ Substitute $\"8+=+2%5E3\"$ and simplify the left side.
\n" ); document.write( " $\"2%5E%281%2F2%29%2A2%5E%283%2F2%29+=+4\"$ Perform the indicated multiplication by adding the exponents.
\n" ); document.write( " $\"2%5E%284%2F2%29+=+4\"$
\n" ); document.write( " $\"2%5E2+=+4\"$
\n" ); document.write( " $\"4+=+4\"$ \n" ); document.write( "

\n" );