Question

What is the value of c in the equation 2c + 5(c − 5) = 10? 02510

Answer 1

c=5

Explanation:

Given the equation:

`2c+5\left(c−5\right)=10`

First, open the bracket:

`\begin{gathered} 2c+5\left(c)−5(5\right)=10 \\ 2c+5c-25=10 \\ 7c-25=10 \end{gathered}`

Next, add 25 to both sides:

`\begin{gathered} 7c-25+25=10+25 \\ 7c=35 \end{gathered}`

Finally, divide both sides by 7:

`\begin{gathered} (7c)/(7)=(35)/(7) \\ c=(5*7)/(7) \\ c=5*(7)/(7) \\ c=5*1 \\ c=5 \end{gathered}`

The value of c in the equation is 5.