document.write( "Question 115548: what is the answer to 5x+2=x+7 \n" ); document.write( "
Algebra.Com's Answer #84105 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! The general steps to solving an equation such as this are: \n" ); document.write( ". \n" ); document.write( "First collect all the terms containing x on one side of the equation and all the constants on \n" ); document.write( "the other side. \n" ); document.write( ". \n" ); document.write( "Second combine terms to simplify the equation. \n" ); document.write( ". \n" ); document.write( "Third divide both sides by the multiplier of x to solve for x \n" ); document.write( ". \n" ); document.write( "Let's apply those steps. \n" ); document.write( ". \n" ); document.write( "Start with the given equation: \n" ); document.write( ". \n" ); document.write( "5x + 2 = x + 7 \n" ); document.write( ". \n" ); document.write( "Get rid of the +2 on the left side by subtracting 2 from both sides. When you do that subtraction \n" ); document.write( "the equation becomes: \n" ); document.write( ". \n" ); document.write( "5x + 2 - 2 = x + 7 - 2 \n" ); document.write( ". \n" ); document.write( "Next get rid of the x on the right side by subtracting x from both sides. This makes the \n" ); document.write( "equation become: \n" ); document.write( ". \n" ); document.write( "5x - x + 2 - 2 = x - x + 7 - 2 \n" ); document.write( ". \n" ); document.write( "Now we simplify the results. On the left side the 5x - x becomes 4x and the +2 - 2 cancel each \n" ); document.write( "other out making the 2's disappear. This first simplification reduces the left side, making the \n" ); document.write( "equation: \n" ); document.write( ". \n" ); document.write( "4x = x - x + 7 -2 \n" ); document.write( ". \n" ); document.write( "On the right side combining x and -x results in the x's disappearing on the right side. \n" ); document.write( "And combining +7 and -2 results in +5. So now the equation is reduced to: \n" ); document.write( ". \n" ); document.write( "4x = 5 \n" ); document.write( ". \n" ); document.write( "Finally, solve for x by dividing both sides by 4 ... because the multiplier of x is 4. This \n" ); document.write( "division makes the equation become: \n" ); document.write( ". \n" ); document.write( "x = 5/4 \n" ); document.write( ". \n" ); document.write( "That's the answer to this problem ... x = 5/4. \n" ); document.write( ". \n" ); document.write( "Hope this explanation helps you to understand the problem. When you get a little more practice \n" ); document.write( "in working these problems, you will be able to do a lot of the detail in your head without \n" ); document.write( "writing every step as was done above. That will make things a lot easier. \n" ); document.write( ". \n" ); document.write( " |