Question 28010
{{{(2+x)/2=(1-x)/3}}}
This can be solved by <b>cross multiplying</b> based on the fact that:
{{{a/b=c/d}}} can be rewritten by multiplying together the diagonals and setting them equal like:
{{{ad=bc}}} For your problem write:
{{{3*(2+x)=2*(1-x)}}}Distribute on both sides:
{{{6+3x=2-2x}}}Add 2x to both sides:
{{{6+5x=2}}}Subtract 6 from both sides:
{{{5x=-4}}}Divide both sides by 5:
{{{x=-4/5}}}
Double check:
{{{2+highlight(-4/5)/2=(1-highlight(-4/5))/3}}}
{{{(6/5)/2=(9/5)/3}}}
{{{6/10=9/15}}}
{{{3/5=3/5}}}Check