Question

I am thinking of a number. If you take half my number and then add 22 you will get 6 times my number. What is my number? Please help and show work

Answer 1

$\frac{x}{2} + 22 = 6 \times x$
multiply everything by 2
$x + 44 = 12 \times x \\ x - 12 \times x = - 44 \\ - 11 \times x = - 44 \\ x = \frac{ - 44}{ - 11} \\ x = 4$