document.write( "Question 15973: five times the opposite of a number was increased by 25. This was exactly 90 greater than 8 times the number. What was the number? \n" ); document.write( "

Algebra.Com's Answer #7859 by elima(1433) $\"\"$ $\"About$

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five times the opposite of a number was increased by 25. This was exactly 90 greater than 8 times the number. What was the number?
\n" ); document.write( "let x = the number
\n" ); document.write( "-x = the opposite of the number
\n" ); document.write( "So we have 5 times(*) the opposite;
\n" ); document.write( "5(-x)=-5x
\n" ); document.write( "was increased(+) by 25;
\n" ); document.write( "-5x+25
\n" ); document.write( "This was exactly(=)
\n" ); document.write( "90 greater than(+)
\n" ); document.write( "8 times the number=8x
\n" ); document.write( "So lets put it all together;
\n" ); document.write( "-5x+25=8x+90
\n" ); document.write( "And there is our equation, now lets solve;
\n" ); document.write( "Subtract 90 from both sides and add 5x;
\n" ); document.write( "-5x+25+5x-90=8x+90+5x-90
\n" ); document.write( "25-90=8x+5x
\n" ); document.write( "-65=13x
\n" ); document.write( "Divide each side by 13;
\n" ); document.write( " $\"-65%2F13\"$ = $\"13x%2F13\"$
\n" ); document.write( "-5=x
\n" ); document.write( "Hope you understand
\n" ); document.write( "=) \n" ); document.write( "

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