Algebra
posted by Adalberto on .
Sharon Spent $2 on a magazine; then she spent half of the rest of her money on shoes. She spent half of her remaining money on lunch. She has $12 left. How much did Sharon start with?
X= X+2+(a÷2)+(b÷2)+12
Thats correct?

let X be the amount she had in the beginning. x2 after magazine On shoes she spent: (x2)/2. For lunch she spent: (x2)/4. She is left with (x2)/4=12 <=> x2=48<=> x=$50

Adalberto, your equation makes no sense at all
First of all, why do you have the variable x when it drops out.
You would have
0 = 2 + (a÷2) + (b÷2) + 12
You did not define a or b, so who knows what that is supposed to say.
Go with joanna's solution , she is correct
check:
start with 50
spend $2, left with 48
spend half of that on shoes , left with 24
spend half of that for lunch , left with 12
which is correct 
6/24 of 1/2 would be 3/12