document.write( "Question 73390: Solve for x;\r
\n" ); document.write( "\n" ); document.write( "7(3x+11) = 9(3-6x)
\n" ); document.write( "

Algebra.Com's Answer #52555 by bucky(2189)\"\" \"About 
You can put this solution on YOUR website!
Given:
\n" ); document.write( ".
\n" ); document.write( "7(3x+11) = 9(3-6x)
\n" ); document.write( ".
\n" ); document.write( "Solve for x
\n" ); document.write( ".
\n" ); document.write( "First, on the left side multiply the 7 by each of the terms in the parentheses to get:
\n" ); document.write( ".
\n" ); document.write( "21x + 77 = 9(3 - 6x)
\n" ); document.write( ".
\n" ); document.write( "Now on the right side multiply 9 times each of the terms in the parentheses to get:
\n" ); document.write( ".
\n" ); document.write( "21x + 77 = 27 - 54x
\n" ); document.write( ".
\n" ); document.write( "Now the object is to get all the terms with x on the right side and all the terms that
\n" ); document.write( "are just numbers onto the right side.
\n" ); document.write( ".
\n" ); document.write( "Begin by adding 54x to both sides of the equation. On the right side this cancels
\n" ); document.write( "the - 54x. The equation then becomes:
\n" ); document.write( ".
\n" ); document.write( "75x + 77 = 27
\n" ); document.write( ".
\n" ); document.write( "Now subtract 77 from both sides to get rid of the + 77 on the left side. When you do
\n" ); document.write( "this subtraction the equation becomes
\n" ); document.write( ".
\n" ); document.write( "75x = -50
\n" ); document.write( ".
\n" ); document.write( "Finally solve for x by dividing both sides by the multiplier of x which is 75.
\n" ); document.write( ".
\n" ); document.write( "x = -50/75 = -2/3
\n" ); document.write( ".
\n" ); document.write( "So the answer to this problem is x = -2/3
\n" ); document.write( ".
\n" ); document.write( "Hope that this gives you a little insight into the procedures that can be used to solve
\n" ); document.write( "equations.
\n" ); document.write( "
\n" );