document.write( "Question 94254: 2(x-3)+2=-4
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Algebra.Com's Answer #68633 by bucky(2189) ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( " 2(x - 3) + 2= -4 \n" ); document.write( ". \n" ); document.write( "Do the distributed multiplication first ... that is multiply the 2 times each of the terms \n" ); document.write( "inside the parentheses. This makes the equation become: \n" ); document.write( ". \n" ); document.write( "2x - 6 + 2 = -4 \n" ); document.write( ". \n" ); document.write( "Combine the two numbers on the left side ... - 6 and + 2 to get -4 \n" ); document.write( ". \n" ); document.write( "This makes the equation become: \n" ); document.write( ". \n" ); document.write( "2x - 4 = -4 \n" ); document.write( ". \n" ); document.write( "Now get rid of the -4 on the left side by adding +4 to both sides to get: \n" ); document.write( ". \n" ); document.write( "2x = 0 \n" ); document.write( ". \n" ); document.write( "Finally, solve for x by dividing both sides by 2 and the equation becomes: \n" ); document.write( ". \n" ); document.write( "x = 0/2 = 0 \n" ); document.write( ". \n" ); document.write( "So the answer to this problem is that x has to equal zero. \n" ); document.write( ". \n" ); document.write( "Let's check this answer by returning to the original given equation and substituting \n" ); document.write( "zero for x to see if the equation is equal on both sides: \n" ); document.write( ". \n" ); document.write( " 2(x - 3) + 2= -4 \n" ); document.write( ". \n" ); document.write( "Substitute 0 for x and you get: \n" ); document.write( ". \n" ); document.write( "2(0 - 3) + 2 = -4 \n" ); document.write( ". \n" ); document.write( "Notice that inside the parentheses 0 - 3 is just - 3. This makes the equation become: \n" ); document.write( ". \n" ); document.write( "2(-3) + 2 = -4 \n" ); document.write( ". \n" ); document.write( "Multiply the 2 times the -3 to get -6: \n" ); document.write( ". \n" ); document.write( "-6 + 2 = -4 \n" ); document.write( ". \n" ); document.write( "and when you combine the two numbers on the left side, you get: \n" ); document.write( ". \n" ); document.write( "-4 = -4 \n" ); document.write( ". \n" ); document.write( "This is true, so the answer of x = 0 is correct. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem a little better. \n" ); document.write( " \n" ); document.write( " |