Respuesta :

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:

[tex]x = \frac{15}{a-b}[/tex]

Step-by-step explanation:

Given the equation:

[tex]ax = 15+bx[/tex]            ...[1]

Solve for x  in terms of a and b.

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

[tex]ax-bx= 15+bx-bx[/tex]  

Simplify:

[tex]ax-bx= 15[/tex]

or

[tex]x(a-b) = 15[/tex]

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

[tex]x = \frac{15}{a-b}[/tex]

therefore, the value of x is, [tex]x = \frac{15}{a-b}[/tex]