Question

For the equation

Answer 1

$x=\frac{d-c}{a-b}$

Step-by-step explanation:

Step 1 - Given data:

ax + c = bx + d,

where a ≠ b and c ≠ d

Step 2 - To find:

x expressed in terms of a, b, c and d.

Step 3 - Solution:

The equation is ax + c = bx + d

⇒ ax – bx + c = d  

Arrange x variables on one side, then the equation becomes

⇒ ax – bx = d – c  

Take x term as a common factor, then the value becomes

⇒ (a – b)x = d – c  

x expressed in terms of a, b, c and d is

$x=\frac{d-c}{a-b}$