Solving equation using 'vpa' function

I'm solving this eq: sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)) using vpa function but cannot solve, and below are my coding:

syms x;
x = solve(sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)));
vpa(x)

How can i solve this problem?

[VBBV]

You can modify the code by assuming constraints on variable x as shown below

syms x;
assume(x >= 1.1556 & x < 5 )
warning('off')
sol = solve(sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683)),x);
double(vpa(sol))

ans = 4.4275

Answer 1

[KSSV]

syms x;
eqn = sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683))==0;
solve(eqn,x)

Warning: Unable to solve symbolically. Returning a numeric solution using vpasolve.

ans = 

0.00000000000055271527457236056353377918317335

vpasolve(eqn,x)

ans = 

0.00000000000055271527457236056353377918317335

[Tan]

the reference ans is: 4.4275

Answer 2

[Dyuman Joshi]

The equation you have has multiple solutions, see plot below for reference.

If you want to return a particular solution, use vpasolve() with a specifc initial guess near that particular solution

syms x
eqn = sin(x - 1.1556)+(sin(1.1556)*exp(-x/2.2683));
fplot(eqn, [-5 25])
yline(0)

out = double(vpasolve(eqn == 0, x, 4))

out = 4.4275