transform the equation to isolate x: ax = bx + 1. how is the value of x related to the difference of a and b?

Explanation:

Step1: Move terms with x to one - side

Subtract bx from both sides of the equation (ax = bx + 1). (ax−bx=bx + 1−bx), which simplifies to (ax−bx = 1).

Step2: Factor out x

Factor out x on the left - hand side of the equation. (x(a - b)=1).

Step3: Solve for x

Divide both sides of the equation by ((a - b)) (assuming (a\neq b)). (x=\frac{1}{a - b}).

Answer:

(x=\frac{1}{a - b}), the value of x is the reciprocal of the difference of a and b.