Verified answer

ОДЗ: x≥1

4(x-1)+4√(x²+2x-3)+x+3=4

4√(x²+2x-3)=5-5x

x≤1

16(x²+2x-3)=25-50x+25x²

16x²+32x-48=25-50x+25x²

-9x²+82x-73=0

9x²-82x+73=0

D=6724-2628=4096

x1=(82+64)/18=73/9 - не корень

x2=(82-64)/18=1

Ответ: x=1