document.write( "Question 293750: what is -2|x-4|+6=-4 \n" ); document.write( "

Algebra.Com's Answer #212089 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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what is -2|x-4|+6 =-4
\n" ); document.write( ":
\n" ); document.write( "Subtract 6 from both sides
\n" ); document.write( "-2|x-4| = -4 - 6
\n" ); document.write( "-2|x-4| = -10
\n" ); document.write( "Divide both sides by -2
\n" ); document.write( "|x - 4| = $\"%28-10%29%2F%28-2%29\"$
\n" ); document.write( "|x - 4| = +5
\n" ); document.write( "remove the absolutes, solve two equations, for two solutions
\n" ); document.write( "x - 4 = 5
\n" ); document.write( "x = 5 + 4
\n" ); document.write( "x = 9
\n" ); document.write( "and
\n" ); document.write( "x - 4 = -5
\n" ); document.write( "x = -5 + 4
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check both solution in the original problem
\n" ); document.write( "x=9
\n" ); document.write( "-2|9-4|+6 =-4
\n" ); document.write( "-2|5| + 6 = -4
\n" ); document.write( "-10 + 6 = -4
\n" ); document.write( "and
\n" ); document.write( "x=-1
\n" ); document.write( "-2|-1-4|+6 =-4
\n" ); document.write( "-2|-5|+6 = -4
\n" ); document.write( "-2(+5) + 6 = -4
\n" ); document.write( "-10 + 6 = -4
\n" ); document.write( " \n" ); document.write( "

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