Question 76727
{{{((x - 7))/5}}} – {{{ 5/2 }}} = {{{((x + 9))/10}}}
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First get rid of the denominators by multiplying each term by a common denominator
10 would be a good one:
{{{(10(x - 7))/5}}} – {{{(10)5/2 }}} = {{{(10(x + 9))/10}}}
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Cancel out the denominators and you have:
2(x - 7) - 5(5) = x + 9
:
Multiply what's inside the brackets and you have:
2x - 14 - 25 = x + 9
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Some basic algebra
2x - 39 = x + 9
2x - x = 9 + 39
x = +48

:
Check in original equation substitute 48 for x:
{{{((48 - 7))/5}}} – {{{ 5/2 }}} = {{{((48 + 9))/10}}}
:
{{{((41))/5}}} – {{{ 5/2 }}} = {{{((57))/10}}}
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Change to a common denominator (10):
{{{((82))/10}}} – {{{ 25/10 }}} = {{{((57))/10}}}
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