Question

Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution. 8s−(5s+6)=12(20+6s)A 4B 16C IdentityD No Solution

Answer 1

s = -3.39

Step-by-step explanation:

First, we need to apply distributive property on the right side as:

`\begin{gathered} 8s-(5s+6)=12(20+6s) \\ 8s-(5s+6)=(12\cdot20)+(12\cdot6s) \\ 8s-(5s+6)=240+72s \end{gathered}`

Then, adding like terms, we get:

`\begin{gathered} 8s-5s+6=240e+72s \\ 3s+6=240+72s \end{gathered}`

Subtracting 3s from both sides:

`\begin{gathered} 3s+6-3s=240+72s-3s \\ 6=240+69s \end{gathered}`

Subtracting 240 from both sides:

`\begin{gathered} 6-240=69s \\ -234=69s \end{gathered}`

Finally, dividing by 69, we get:

`\begin{gathered} -(234)/(69)=(69s)/(69) \\ -3.39=s \end{gathered}`

Therefore, the answer is s = -3.39