Question

Eleven more than four times a number equal the number less 7 find the number

Answer 1

For this case we have to:

x: Let the variable representing the unknown number

We algebraically rewrite the given expression:

Eleven more than four times a number, is represented as:

`11 + 4x`

The number less 7, is represented as:

`x-7`

Thus, the complete expression is:

`11 + 4x = x-7`

We subtract x from both sides of the equation:

`11 + 4x-x = -7\\11 + 3x = -7`

We subtract 11 from both sides of the equation:

`3x = -7-11`

Equal signs are added and the same sign is placed:

`3x = -18`

We divide by 3 on both sides of the equation:

`x = - \frac {18} {3}\\x = -6`

Answer:

`x = -6`