Answer: [tex]\frac{5x-29}{6}[/tex]
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.
[tex]\frac{2(x-7)}{6} -\frac{3(5-x)}{6}[/tex]
Now that the fractions have the same denominator, we can distribute the numerator and subtract.
[tex]\frac{2x-14}{6} -\frac{15-3x}{6} =\frac{2x-14-15+3x}{6} =\frac{5x-29}{6}[/tex]
