My word problem after receiving her paycheck, Shane gave $15 to her brother and bought a sweatshirt for $`8. Sh put half of the remaining money into her savings account. If she $46 eft, what was the amount of her paycheck.

Answer $107

X - 15 - 8 -[(X-15-8)/2) = 46

(X-23)/2) = 46
X -23 = 92
X = 115