Answer:
The required equation is: [tex]\mathbf{4x+1=2x-6}[/tex]
Step-by-step 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:
[tex]4x+1=2x-6[/tex]
So, the required equation is: [tex]\mathbf{4x+1=2x-6}[/tex]