When it says "eight less than twice a number is 12 more than four times the number" will its equation

Be, 2n-8=4n+12? And if that is true how could I solve it?

yes

add -2n to both sides

-8 = 2 n + 12
add -12 to both sides
-20 = 2 n
divide both sides by 2
-10 = n

then check
2(-10) - 8 = 4 (-10) + 12 ???
-20 -8 = -40 + 12 ???
-28 = -28 Hey it worked !

Would the answer be -10?

yes :)

Yes, the equation for the given statement, "eight less than twice a number is 12 more than four times the number," is 2n - 8 = 4n + 12. To solve this equation, follow these steps:

Step 1: Simplify both sides of the equation by combining like terms.

2n - 8 = 4n + 12

Step 2: Bring all the terms with variables to one side and constants to the other side.

2n - 4n = 12 + 8

Step 3: Combine like terms again.

-2n = 20

Step 4: Divide both sides of the equation by -2 to isolate the variable n.

n = 20/-2

Step 5: Simplify the division.

n = -10

Therefore, the solution to the equation is n = -10.