Answer :
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].
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].