document.write( "Question 102836This question is from textbook algebra and tringonometry
\n" ); document.write( ": Find the solution to the equation 6x-3=-2x+21. \n" ); document.write( "
Algebra.Com's Answer #74775 by doukungfoo(195)\"\" \"About 
You can put this solution on YOUR website!
solving for x
\n" ); document.write( "6x - 3 = -2x + 21
\n" ); document.write( "first move all terms with x to one side of the equation
\n" ); document.write( "to do this we will add 2x to both sides of the equation
\n" ); document.write( "6x + 2x - 3 = -2x + 2x + 21
\n" ); document.write( "6x + 2x - 3 = 0 + 21
\n" ); document.write( "6x + 2x - 3 = 21
\n" ); document.write( "next move all terms without x to the opposite side of the equation
\n" ); document.write( "we will do this by adding 3 to both sides
\n" ); document.write( "6x + 2x - 3 + 3 = 21 + 3
\n" ); document.write( "6x + 2x - 0 = 21 + 3
\n" ); document.write( "6x + 2x = 21 + 3
\n" ); document.write( "now combine like terms
\n" ); document.write( "8x = 24
\n" ); document.write( "finally solve for x by dividing both sides by 8
\n" ); document.write( "8x/8 = 24/8
\n" ); document.write( "x = 3
\n" ); document.write( "Answer: so the solution is x = 3
\n" ); document.write( "check the answer by replacing the x in the orginal equationn with 3
\n" ); document.write( "6x - 3 = -2x + 21
\n" ); document.write( "6(3) - 3 = -2(3) + 21
\n" ); document.write( "18 - 3 = -6 + 21
\n" ); document.write( "15 = 15
\n" ); document.write( "replacing x with 3 we end up with a true statement of 15 = 15
\n" ); document.write( "so we have proved that our answer is correct.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );