To solve the equation [tex]\( 5c - 2 = 3c \)[/tex], we need to isolate the variable [tex]\( c \)[/tex].
1. Start by moving all terms involving [tex]\( c \)[/tex] to one side of the equation and the constant terms to the other side. Subtract [tex]\( 3c \)[/tex] from both sides:
[tex]\[
5c - 3c - 2 = 0
\][/tex]
Simplifying the left side gives:
[tex]\[
2c - 2 = 0
\][/tex]
2. Next, add 2 to both sides to isolate the term with [tex]\( c \)[/tex]:
[tex]\[
2c - 2 + 2 = 0 + 2
\][/tex]
This simplifies to:
[tex]\[
2c = 2
\][/tex]
3. Now, divide both sides by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[
c = \frac{2}{2} = 1
\][/tex]
So, we have found that [tex]\( c = 1 \)[/tex].
4. To find [tex]\( 24c \)[/tex], we simply multiply the value of [tex]\( c \)[/tex] by 24:
[tex]\[
24c = 24 \times 1 = 24
\][/tex]
Therefore, the value of [tex]\( 24c \)[/tex] is [tex]\( \boxed{24} \)[/tex].
