Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Solve for \( c \).

[tex]\[ 2(2c + 9) = c \][/tex]

[tex]\[ c = [?] \][/tex]


Sagot :

Sure, let's solve the equation step-by-step:

Given equation:
[tex]\[ 2(2c + 9) = c \][/tex]

First, distribute the 2 on the left side of the equation:
[tex]\[ 2 \cdot 2c + 2 \cdot 9 = c \][/tex]
[tex]\[ 4c + 18 = c \][/tex]

Next, we want to move the term involving \( c \) on the right side to the left side of the equation to combine like terms:
[tex]\[ 4c + 18 - c = 0 \][/tex]

Simplify the left side:
[tex]\[ 3c + 18 = 0 \][/tex]

Now, isolate the term involving \( c \) by moving the constant term to the right side:
[tex]\[ 3c = -18 \][/tex]

Finally, solve for \( c \) by dividing both sides of the equation by 3:
[tex]\[ c = \frac{-18}{3} \][/tex]
[tex]\[ c = -6 \][/tex]

Thus, the solution is:
[tex]\[ c = -6 \][/tex]