You can put this solution on YOUR website! Given to solve:
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If you don't like fractions, in this case you can get rid of the fractions. How? Begin by noting
that is a common denominator. Suppose that we multiply both sides of this
equation (all terms) by . In doing that multiplication you make the original
problem become:
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Next, where it applies you can cancel the denominator with the like term in the numerator as
follows:
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After these cancellations you are left with:
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Multiplying results in
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Multiplying results in
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and finally,
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Multiplying results in
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Substitute these results into the equation and you have:
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On the left side you can remove the parentheses if you change the signs of the terms inside
the parentheses to get:
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Notice that you have on both sides. Therefore, if you add to
both sides these two terms disappear and you are left with:
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On the left side you can combine the and the to get to reduce
the equation to:
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Then get rid of the -7 on the left side by adding 7 to both sides to get:
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Finally, solve for x by dividing both sides by 6 to get:
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This is the answer you are looking for ...
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You can check this answer by substituting for x in the original problem and
ensuring that the equation will balance.
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Hope this helps you to understand the problem and how you can get rid of the denominators in
the equation so that you are not working with fractions.
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