Vectors

Can anyone please help me to solve this equation
(alpha)x + a × x = b
Here a , b and x are vectors and alpha is a scalar

I need a solution for x

Take the scalar multiple of your equation, (call it eq(1)), with $\displaystyle \underline{a},$ and note that the triple scalar product is zero. Call this eq(2).

Take the vector multiple of eq(1) with $\displaystyle \underline{a},$ expand the triple vector product and substitute using eq(2). Call this eq(3).

Eliminate the vector product between eq's (1) and (3), and solve for $\displaystyle \underline{x}.$

Thank you so much for ypur help I got the answer :)