Question

how do you solve x/2-x/4=6

Answer 1

Hi there!

$\frac{x}{2} - \frac{x}{4} = 6$
To get rid of the fractions you have to multiply by 4. Multiplying by 2 does not work, because of we do that, we can't get rid of x / 4. Hence, multiply the entire function by 4

$4 \times \frac{x}{2} - 4 \times \frac{x}{4} = 6 \times 4$
$2x - x = 24$
$x = 24$

Therefore, the solution to this equation is x = 24. We've found this solution by multiplying the entire function by 4 and then we've collected terms.