Let's solve the equation step-by-step and determine the value of [tex]\(24c\)[/tex].
1. Given Equation:
[tex]\[
5c - 2 = 3c
\][/tex]
2. Isolate [tex]\(c\)[/tex] on one side:
To do this, subtract [tex]\(3c\)[/tex] from both sides of the equation:
[tex]\[
5c - 3c - 2 = 3c - 3c
\][/tex]
Simplifying this, we get:
[tex]\[
2c - 2 = 0
\][/tex]
3. Solve for [tex]\(c\)[/tex]:
Add 2 to both sides to isolate the term with [tex]\(c\)[/tex]:
[tex]\[
2c - 2 + 2 = 0 + 2
\][/tex]
Simplifying this, we get:
[tex]\[
2c = 2
\][/tex]
4. Divide by 2 to solve for [tex]\(c\)[/tex]:
[tex]\[
c = \frac{2}{2}
\][/tex]
Simplifying this, we get:
[tex]\[
c = 1
\][/tex]
5. Compute [tex]\(24c\)[/tex]:
Now that we have [tex]\(c = 1\)[/tex], we calculate [tex]\(24c\)[/tex]:
[tex]\[
24c = 24 \times 1 = 24
\][/tex]
So, [tex]\(24c\)[/tex] equals 24.
Answer: 24
