Sure, let’s solve the equation step by step.
We start with the given equation:
[tex]\[ 5c - 2 = 3c \][/tex]
Our goal is to solve for [tex]\(c\)[/tex].
1. First, move all the terms involving [tex]\(c\)[/tex] to one side of the equation and the constant term to the other side. To do this, subtract [tex]\(3c\)[/tex] from both sides:
[tex]\[ 5c - 3c - 2 = 0 \][/tex]
2. Simplify the equation:
[tex]\[ 2c - 2 = 0 \][/tex]
3. Next, add 2 to both sides to isolate the term with [tex]\(c\)[/tex]:
[tex]\[ 2c = 2 \][/tex]
4. Finally, divide both sides by 2 to solve for [tex]\(c\)[/tex]:
[tex]\[ c = 1 \][/tex]
Now that we have [tex]\(c = 1\)[/tex], we need to find the value of [tex]\(24c\)[/tex].
5. Substitute [tex]\(c = 1\)[/tex] into the expression [tex]\(24c\)[/tex]:
[tex]\[ 24c = 24 \times 1 \][/tex]
6. Simplify:
[tex]\[ 24c = 24 \][/tex]
Therefore, the correct answer is:
D. 24
