Answer:
c = 28
Step-by-step explanation:
[tex]10=\frac{c}{3} -4+\frac{c}{6}[/tex]
Make sure the fractions have a common denominator so that they can be added together. Take [tex]\frac{c}{3}[/tex] and multiply it by [tex]\frac{2}{2}[/tex] so that way the fractions will have a common denominator.
[tex]10=\frac{2c}{6} -4+\frac{c}{6}[/tex]
Add the fractions together.
[tex]10=\frac{3c}{6} -4[/tex]
Add 4 to both sides so that [tex]\frac{2c}{6}[/tex] is left alone.
[tex]14=\frac{3c}{6}[/tex]
Multiply both sides by 6 so you will then have 3c
[tex]84=3c[/tex]
Divide both sides by 3 to get c
[tex]28=c[/tex]
