Question 541005
{{{(1/2)-(5/8)x = (7/8)x + (7/2)}}}

Subtract -7/2 from each side

{{{(-5/8)x -3 = (7/8)x}}}

subtract -5/8x from each side

{{{-3 =  (12/8)x}}}

divide both sides by (12/8) or (3/2)

{{{-3/(3/2) = x}}}

multiply by reciprocal 

{{{-3 * (2/3) = x}}} 

{{{x=(-6/3)}}}
or
x = -2