Sure, let's break this down step-by-step to find the value of [tex]\( 24c \)[/tex] given the equation [tex]\( 5c - 2 = 3c \)[/tex].
1. Start with the given equation:
[tex]\[
5c - 2 = 3c
\][/tex]
2. Isolate [tex]\( c \)[/tex] on one side of the equation. To do this, subtract [tex]\( 3c \)[/tex] from both sides:
[tex]\[
5c - 3c - 2 = 0
\][/tex]
Simplifying the left side, we get:
[tex]\[
2c - 2 = 0
\][/tex]
3. Next, add 2 to both sides to further isolate the term with [tex]\( c \)[/tex]:
[tex]\[
2c - 2 + 2 = 0 + 2
\][/tex]
This simplifies to:
[tex]\[
2c = 2
\][/tex]
4. Now, solve for [tex]\( c \)[/tex] by dividing both sides by 2:
[tex]\[
c = \frac{2}{2}
\][/tex]
Thus, we find:
[tex]\[
c = 1
\][/tex]
5. Finally, we need to find [tex]\( 24c \)[/tex]. Using the value of [tex]\( c \)[/tex] that we have found:
[tex]\[
24c = 24 \times 1
\][/tex]
Simplifying this, we get:
[tex]\[
24c = 24
\][/tex]
So the value of [tex]\( 24c \)[/tex] is [tex]\( \boxed{24} \)[/tex].
