To solve for [tex]\( c \)[/tex] in the equation [tex]\( 5c - 2 = 3c \)[/tex], let's go through the steps to isolate [tex]\( c \)[/tex].
1. Subtract [tex]\( 3c \)[/tex] from both sides of the equation:
[tex]\[ 5c - 3c - 2 = 3c - 3c \][/tex]
Simplify to:
[tex]\[ 2c - 2 = 0 \][/tex]
2. Add 2 to both sides of the equation to further isolate the term with [tex]\( c \)[/tex]:
[tex]\[ 2c - 2 + 2 = 0 + 2 \][/tex]
Simplify to:
[tex]\[ 2c = 2 \][/tex]
3. Divide both sides by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[ \frac{2c}{2} = \frac{2}{2} \][/tex]
Simplify to:
[tex]\[ c = 1 \][/tex]
Now, we need to find [tex]\( 24c \)[/tex].
4. Multiply [tex]\( c \)[/tex] by 24:
[tex]\[ 24c = 24 \times 1 \][/tex]
[tex]\[ 24c = 24 \][/tex]
Therefore, [tex]\( 24c = 24 \)[/tex].
So, the correct answer is:
[tex]\[ 24 \][/tex]
