Question 980322
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The problem is ambiguous.
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For {{{(x+3)/2=x/5}}}:
{{{(x+3)/2=x/5}}} Multiply each side by 5.
{{{(5x+15)/2=x}}} Multiply each side by 2.
{{{5x+15=2x}}} Subtract 2x from each side.
{{{3x+15=0}}}Subtract 15 from each side.
{{{3x=-15}}} Divide each side by 3.
{{{x=-5}}}
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CHECK:
{{{(x+3)/2=x/5}}}
{{{(-5+3)/2=-5/5}}}
{{{-2/2=-5/5}}}
{{{-1=-1}}}
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For {{{x+3/2=x/5}}}:
{{{x+3/2=x/5}}} Multiply each side by 5.
{{{5x+15/2=x}}} Subtract x from each side.
{{{4x+15/2=0}}} Subtract 15/2 from each side.
{{{4x=-15/2}}} Divide each side by 4.
{{{x=-15/8}}}
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CHECK:
{{{x+3/2=x/5}}}
{{{-15/8+3/2=(-15/8)/5}}}
{{{-15/8+12/8=-3/8}}}
{{{-3/8=-3/8}}}