Question 91660
{{{(x - 2)/5 - 3/2 = (x + 1)/10}}}
multiply both sides by the LCD, which is 10
{{{10(x-2)/5 - 10*3/2 = 10(x + 1)/10}}}
{{{2(x - 2) - 5*3 = x + 1}}}
{{{2x - 4 - 15 = x + 1}}}
subtract x from both sides
{{{x - 19 = 1}}}
{{{x = 20}}} answer
check
{{{(x - 2)/5 - 3/2 = (x + 1)/10}}}
{{{(20 - 2)/5 - 3/2 = (20 + 1)/10}}}
{{{18/5 - 3/2 = 21/10}}}
multiply both sides by the LCD, which is 10
{{{2*18 - 5*3 = 21}}}
{{{36 - 15 = 21}}}
{{{21 = 21}}}
OK