Question 72898
Solve and check the equation

-5/6x - (x-1/2) = 1/4(x + 1)
{{{(-5/6)x-(x-1/2)=(1/4)(x+1)}}}  
{{{-5x/6-x+1/2=x/4+1/4}}}  The LCD is 12, clear the fractions by multiplying each term by 12.
{{{12(-5x)/6-12x+12/2=12x/4+12/4}}}
{{{2(-5x)-12x+6=3x+3}}}
{{{-10x-12x+6=3x+3}}}
{{{-22x+6=3x+3}}}
{{{-22x-3x+6=3x-3x+3}}}
{{{-25x+6=3}}}
{{{-25x+6-6=3-6}}}
{{{-25x=-3}}}
{{{-25x/-25=-3/-25}}}
{{{highlight(x=3/25)}}}
Check:
{{{(-5/6)(3/25)-(3/25-1/2)=(1/4)(3/25+1)}}}
{{{-1/2)(1/5)-3/25+1/2=3/100+1/4}}}
{{{-1/10-3/25+1/2=3/100+1/4}}}
{{{-5/50-6/50+25/50=3/100+25/100}}}
{{{14/50=28/100}}}
{{{7/25=7/25}}}
Happy Calculating!!!!