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:
[tex]11 + 4x[/tex]
The number less 7, is represented as:
[tex]x-7[/tex]
Thus, the complete expression is:
[tex]11 + 4x = x-7[/tex]
We subtract x from both sides of the equation:
[tex]11 + 4x-x = -7\\11 + 3x = -7[/tex]
We subtract 11 from both sides of the equation:
[tex]3x = -7-11[/tex]
Equal signs are added and the same sign is placed:
[tex]3x = -18[/tex]
We divide by 3 on both sides of the equation:
[tex]x = - \frac {18} {3}\\x = -6[/tex]
Answer:
[tex]x = -6[/tex]
