Question 55897
If x is in the denominator of the fraction, this is how you do it:
{{{4/5x-7=21+9/10x}}}  The LCD (lowest common denominator) is 10x, multiply both sides of the = sign by 10x.
{{{10x(4/5x-7)=10x(21+9/10x)}}}
{{{40x/5x-70x=210x+90x/10x}}}
{{{8-70x=210x+9}}}
{{{8-70x+70x=70x+210x+9}}}
{{{8=280x+9}}}
{{{8-9=280x+9-9}}}
{{{-1=280x}}}
{{{-1/280=280x/280}}}
{{{-1/280=x}}}
If this is what you meant, this is how you do it:
{{{(4/5)x-7=21+(9/10)x}}} The LCD is 10 and the fractions can be eliminated by multiplying both sides of the = sign by 10.
{{{10((4/5)x-7)=10(21+(9/10)x)}}}
{{{(40/5)x-70=210+(90/10)x}}}
{{{8x-70=210+9x}}}
{{{-8x+8x-70=210+9x-8x}}}
{{{-70=210+x}}}
{{{-210-70=-210+210+x}}}
{{{-280=x}}}
Happy Calculating!!!