Question

Solve for a:7 - (a - 3) = 3(2a - 6)

Answer 1

`a=4`

Step-by-step explanation

We want to solve for a in the equation:

`7-(a-3)=3(2a-6)`

First, expand the brackets on both sides of the equation:

`7-a+3=6a-18`

Now, collect like terms:

`\begin{gathered} -a-6a=-18-7-3 \\ \Rightarrow-7a=-28 \end{gathered}`

Finally, divide both sides by -7:

`\begin{gathered} (-7a)/(-7)=(-28)/(-7) \\ a=4 \end{gathered}`

That is the answer.