Question

Simply the expression title="\frac{x-7}{3} - \frac{5-x}{2}" alt="\frac{x-7}{3} - \frac{5-x}{2}" align="absmiddle" class="latex-formula">

Answer 1

Answer: $\frac{5x-29}{6}$

Step-by-step explanation:

To simplify the equation, we can just subtract the 2 fractions. First, we need to make sure they have a common denominator.

$\frac{2(x-7)}{6} -\frac{3(5-x)}{6}$

Now that the fractions have the same denominator, we can distribute the numerator and subtract.

$\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}$