document.write( "Question 678340: three times the sum of a number and 4 is 8 less than one-half the number. write and solve an equation to find the number. \n" ); document.write( "
Algebra.Com's Answer #421359 by rm29924(97)\"\" \"About 
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Let X = a number
\n" ); document.write( "three times the sum of a number and 4
\n" ); document.write( "the sum of a number and 4 means you add them
\n" ); document.write( "x+4
\n" ); document.write( "three times means multiply by 3
\n" ); document.write( "3(x+4)
\n" ); document.write( "8 less than one-half the number
\n" ); document.write( "one half the number is 1/2X
\n" ); document.write( "8 less means subtract 8
\n" ); document.write( "1/2x-8
\n" ); document.write( "is means equals so set those equal to each other
\n" ); document.write( "3(x+4)=1/2x-8
\n" ); document.write( "3x+12=1/2x-8
\n" ); document.write( "subtract 3x from both sides
\n" ); document.write( "12=-2.5x-8
\n" ); document.write( "add 8 to both sides
\n" ); document.write( "20=-2.5x
\n" ); document.write( "divide both sides by 2.5
\n" ); document.write( "x= - 8
\n" ); document.write( "plug it back into the equation to check work\r
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