Four times the difference of a number and one is ten less than the number

The other number is - 2.

Step-by-step explanation:

Step 1; Assume the other number is x. So 4 times the difference between x and 1 is equal to x-10. So we formulate the equation as

4 (x - 1) = x - 10,

4x - 4 = x - 10,

Transferring the unknown values to the left side and keeping the known values on the right we get

4x - x = - 10 + 4,

3x = - 6.

x = - 2.

So the other number is - 2.

Step 2; To check if we got the right number we substitute it into the given equation and see if it matches.

Equation is 4 (x - 1) = x - 10 substituting x=-2 we get,

4 (-2 - 1) = - 2-10, - 12 = - 12. Both sides are equal so the other number is - 2.