Question

How do you solve `3x + 2(5x + 4) = 47`?

Answer 1

`x=3`

Explanation:

Firstly, multiply out the brackets to simplify:

`3x+2(5x+4)=47`
`3x+10x+8=47`

Then rearrange to place all like-terms on one side to simplify:

`13x+8=47`
`13x=47-8`
`13x=39`
`x=39/13`
`x=3`

So when the value of `x` is substituted into the original equation, you should get the solution of `47`:

`3x+2(5x+4)=47`
`3(3)+2(5(3)+4)=47`
`9+2(15+4)=47`
`9+30+8=47`