Question 217626
If twice a number added to 3 is divided by the number plus 1, the result is three halves. 
Find the number.
:
Let x = " a number"
:
{{{(2x + 3)/(x + 1)}}} = {{{3/2}}}
Cross multiply
2(2x+3) = 3(x+1)
:
4x + 6 = 3x + 3
:
4x - 3x = 3 - 6
:
x = -3
;
;
Check in original equation
{{{(2(-3) + 3)/(-3 + 1)}}} = {{{3/2}}}
:
{{{(-6 + 3)/(-3 + 1)}}} = {{{3/2}}}
:
{{{(-3)/(-2)}}} = {{{3/2}}}