Question

Translate the statement into an equation. Let x represent the unknown number. Do not solve the equation.

The sum of four times a number and 1 is equal to the difference of twice the number and 6.
answers:

Answer 1

The required equation is:
`\mathbf{4x+1=2x-6}`

Explanation:

We need to translate the statement into an equation

Let x represent the unknown number.

The sum of four times a number and 1 is equal to the difference of twice the number and 6.

I am breaking down step by step to make the equation:

Four times a number : 4x

The sum of four times a number and 1: 4x+1

Twice the number: 2x

The difference of twice the number and 6: 2x-6

So, the final equation will be:

`4x+1=2x-6`

So, the required equation is:
`\mathbf{4x+1=2x-6}`