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 and note that the triple scalar product is zero. Call this eq(2).

Take the vector multiple of eq(1) with 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

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