Answer:
[tex]\boxed {c = -5}[/tex]
Step-by-step explanation:
Solve for the value of [tex]c[/tex]:
[tex]\frac{8}{3}c - 2 = \frac{2}{3}x - 12[/tex]
-Take [tex]\frac{2}{3}c[/tex] and subtract it from [tex]\frac{8}{3}c[/tex]:
[tex]\frac{8}{3}c - 2 - \frac{2}{3}c = \frac{2}{3}c - \frac{2}{3}c - 12[/tex]
[tex]2c - 2 = -12[/tex]
-Add [tex]2[/tex] to both sides of the equation:
[tex]2c - 2 + 2 = -12 + 2[/tex]
[tex]2c = -10[/tex]
-Divide both sides by [tex]2[/tex]:
[tex]\frac{2c}{2} = \frac{-10}{2c}[/tex]
[tex]\boxed {c = -5}[/tex]
So, the value of [tex]c[/tex] is [tex]-5[/tex].
