kill(all)$

van=facebook.com/LearningCalculus$

step0: sqrt(7+2*sqrt(7-2*sqrt(7-2*x)))=x;

step1:lhs(step0)^2=rhs(step0)^2;

step2:lhs(step1)-7 = rhs(step1)-7;

step3:lhs(step2)/2 = rhs(step2)/2;

step4:lhs(step3)^2=rhs(step3)^2;

step5:lhs(step4)-7=rhs(step4)-7;

step6:lhs(step5)/(-2)=rhs(step5)/(-2);

step7:lhs(step6)^2=rhs(step6)^2;

step8:lhs(step7)-7=rhs(step7)-7;

step9:lhs(step8)/(-2)=rhs(step8)/(-2);

step10:rhs(step9)-x = lhs(step9)-x;

step11:fullratsimp(step10);

step12:solve(step11,x)$

for i: 1 thru 5 do print("Answer ", step12[i]);