Answer :
To solve the equation [tex]\( 5c - 2 = 3c \)[/tex] and find the value of [tex]\( 24c \)[/tex], we can follow these steps:
1. Start by isolating the variable [tex]\( c \)[/tex] in the given equation [tex]\( 5c - 2 = 3c \)[/tex].
2. Subtract [tex]\( 3c \)[/tex] from both sides to simplify:
[tex]\[ 5c - 3c - 2 = 3c - 3c \][/tex]
This simplifies to:
[tex]\[ 2c - 2 = 0 \][/tex]
3. Add 2 to both sides to further isolate [tex]\( c \)[/tex]:
[tex]\[ 2c - 2 + 2 = 0 + 2 \][/tex]
This simplifies to:
[tex]\[ 2c = 2 \][/tex]
4. Divide both sides by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[ \frac{2c}{2} = \frac{2}{2} \][/tex]
This simplifies to:
[tex]\[ c = 1 \][/tex]
5. Now, we need to find the value of [tex]\( 24c \)[/tex]. Substitute [tex]\( c = 1 \)[/tex] into [tex]\( 24c \)[/tex]:
[tex]\[ 24c = 24 \cdot 1 = 24 \][/tex]
Therefore, the value of [tex]\( 24c \)[/tex] is [tex]\(\boxed{24}\)[/tex].
1. Start by isolating the variable [tex]\( c \)[/tex] in the given equation [tex]\( 5c - 2 = 3c \)[/tex].
2. Subtract [tex]\( 3c \)[/tex] from both sides to simplify:
[tex]\[ 5c - 3c - 2 = 3c - 3c \][/tex]
This simplifies to:
[tex]\[ 2c - 2 = 0 \][/tex]
3. Add 2 to both sides to further isolate [tex]\( c \)[/tex]:
[tex]\[ 2c - 2 + 2 = 0 + 2 \][/tex]
This simplifies to:
[tex]\[ 2c = 2 \][/tex]
4. Divide both sides by 2 to solve for [tex]\( c \)[/tex]:
[tex]\[ \frac{2c}{2} = \frac{2}{2} \][/tex]
This simplifies to:
[tex]\[ c = 1 \][/tex]
5. Now, we need to find the value of [tex]\( 24c \)[/tex]. Substitute [tex]\( c = 1 \)[/tex] into [tex]\( 24c \)[/tex]:
[tex]\[ 24c = 24 \cdot 1 = 24 \][/tex]
Therefore, the value of [tex]\( 24c \)[/tex] is [tex]\(\boxed{24}\)[/tex].