Question 110842
( x - 4 )/2 - 1/5 = (7x + 1)/20 
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Assume you mean:
{{{((x-4))/2}}} - {{{1/5}}} = {{{((7x+1))/20}}}
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If we multiply the equation by 20 we eliminate the denominators
20*{{{((x-4))/2}}} - 20*{{{1/5}}} = 20*{{{((7x+1))/20}}}
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Cancel out the denominators, leaving us with:
10(x-4) - 4(1) = 7x + 1
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10x - 40 - 4 = 7x + 1
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10x - 7x - 44 = 1; subtracted 7x from both sides
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3x = 1 + 44; added 44 to both sides
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3x = 45
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x = 45/3
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x = 15
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It's a good idea to check solution by substituting 15 for x in the original equation
{{{((x-4))/2}}} - {{{1/5}}} = {{{((7x+1))/20}}}
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{{{((15-4))/2}}} - {{{1/5}}} = {{{((7(15)+1))/20}}}
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{{{11/2}}} - {{{1/5}}} = {{{((105+1))/20}}}
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{{{11/2}}} - {{{1/5}}} = {{{106/20}}}
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Put all the fraction over 20
{{{110/20}}} - {{{4/20}}} = {{{106/20}}}
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