Question

Could you actually show me how to do the whole answer .Number 21. Solve the equation.

Answer 1

Given the following equation:

`6-2\mleft(x+6\mright)=3x+4`

You can solve it by following the steps shown below:

1. Apply the Distributive Property on the left side of the equation:

`\begin{gathered} 6-(2)\mleft(x)-(2)(6\mright)=3x+4 \\ 6-2x-12=3x+4 \end{gathered}`

2. Apply the Addition Property of Equality by adding this term to both sides of the equation:

`2x`

Then:

`\begin{gathered} 6-2x-12+(2x)=3x+4+(2x) \\ 6-12=5x+4 \end{gathered}`

3. Solve the Subtraction on the left side of the equation:

`-6=5x+4`

4. Apply the Subtraction Property of Equality by subtracting 4 from both sides of the equation.

`\begin{gathered} -6-(4)=5x+4-(4) \\ -10=5x \end{gathered}`

5. Finally, you can apply the Division Property of Equality by dividing both sides of the equation by 5:

`\begin{gathered} (-10)/(5)=(5x)/(5) \\ \\ -2=x \\ x=-2 \end{gathered}`

Therefore, the answer is:

`x=-2`