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Verified Answer :

Ax - bx = 15 ( Move all terms with x to one side)

(A-b)x = 15 ( take x as common)

x = 15/(A-b)  (Divide over x)

Answer:

\(x = \frac{15}{a-b}\)

Step-by-step explanation:

Given the equation:

\(ax = 15+bx\)            ...[1]

Solve for x  in terms of a and b.

Subtract bx from both sides in [1]  we have;

\(ax-bx= 15+bx-bx\)  

Simplify:

\(ax-bx= 15\)

or

\(x(a-b) = 15\)

Divide both sides by (a-b) we have;

\(x = \frac{15}{a-b}\)

therefore, the value of x is, \(x = \frac{15}{a-b}\)