document.write( "Question 107163: please help me with this problem
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document.write( "ive been working on it for 15 min already \r
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document.write( "the problem is
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document.write( "2(x-4)=22\r
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document.write( "i have to solve for x
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document.write( "i cant get the anwser at all \n" );
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Algebra.Com's Answer #78012 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Given: \n" ); document.write( ". \n" ); document.write( "2(x-4)=22 \n" ); document.write( ". \n" ); document.write( "To solve for x, begin by doing the distributed multiplication on the left side. This \n" ); document.write( "multiplication involves multiplying the 2 times each of the two quantities inside the parentheses. \n" ); document.write( "So multiply 2 times x to get 2x and then multiply 2 times -4 to get -8. When you do that \n" ); document.write( "the problem becomes: \n" ); document.write( ". \n" ); document.write( "2x - 8 = 22 \n" ); document.write( ". \n" ); document.write( "Next get rid of the -8 on the left side so that the only term on the left side is 2x. Do that \n" ); document.write( "by adding +8 to both sides. On the left side the -8 and the +8 combine to cancel each other \n" ); document.write( "and on the right side the 22 and the +8 combine to give +30. Therefore, the equation \n" ); document.write( "becomes: \n" ); document.write( ". \n" ); document.write( "2x = +30 \n" ); document.write( ". \n" ); document.write( "Now solve for x by dividing both sides of the equation by 2 ... because 2 is the multiplier \n" ); document.write( "of the x term. When you divide both sides by 2 the answer becomes: \n" ); document.write( ". \n" ); document.write( "x = 30/2 = 15 \n" ); document.write( ". \n" ); document.write( "So the answer is x = 15 \n" ); document.write( ". \n" ); document.write( "Check this answer. Start with the original equation you were given: \n" ); document.write( ". \n" ); document.write( "2(x-4)=22 \n" ); document.write( ". \n" ); document.write( "Substitute 15 for x to make the problem become: \n" ); document.write( ". \n" ); document.write( "2(15 - 4) = 22 \n" ); document.write( ". \n" ); document.write( "Within the parentheses, 15 - 4 is equal to 11. So this reduces the problem to: \n" ); document.write( ". \n" ); document.write( "2*11 = 22 \n" ); document.write( ". \n" ); document.write( "On the left side 2 times 11 is 22 and is equal to the right side. Therefore, when x = 15 the \n" ); document.write( "equation is true ... meaning both sides are equal. And this means our answer is correct. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem better. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |