Question

Five times the sum of twice a number, `x`, and seven is thirty-five. What is the number?

Answer 1

`x=0`

Explanation:

To write that as an equation, it would be `5(2x+7)=35`, since in 'Five times', `5` would go outside the parentheses and 'the sum of twice a number, x, and seven' would be inside the parentheses, and would look like `(2x+7)`. 'Is thirty-five' is respectively `=35`.

Solving for `x`:

`5(2x+7)=35`

Use the distributive property
`10x+35=35`

Subtract 35 on both sides
`10x+35-35=35-35`

`10x=0`

`10x/10=0/10` is `0`.

Check:

`5[2(0)+7]=35`
`5(7)=35`
`35=35`