Question 202601
Assuming the problem is:
{{{(x+2)/2 - x/3 = 5}}}
The simplest way is to multiply both sides by the Lowest Common Denominator (LCD). The LCD in your equation is 6. So:
{{{6*((x+2)/2 - x/3) = 6*5}}}
Using the distributive equation on the left we get:
{{{(6*(x + 2))/2 - (6*x)/3 = 30}}}
The fractions reduce to "non-fractions" (which is why we multiplied by the LCD):
{{{3(x + 2) - 2x = 30}}}
Simplifying the left side we get:
{{{3x + 6 - 2x = 30}}}
{{{x + 6 = 30}}}
Subtracting 6 from both sides we get:
{{{x = 24}}}