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:

$x = -6$