Please can someone help me find my mistake in my solution of non-linear system

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I've recently been attempting to analytically solve a non-linear model for stick-slip friction and although I can find the correct Jacobian matrix when I try to solve the equation to find the equilibrium point I get a different answer for the x coordinate than I get if I simulate it in Matlab. I was wondering if anyone can help me find my mistake. Pictures attached show my written work and the matlab simulation

Thanks

Matlab simulationAttempt at analytical solution

Typed up attempt at solution