Question

Make x the subject of the formula x(a-b)=a(b-x).​

Answer 1

Answer:

${ \sf{x(a - b) = a(b - x)}}$

Open the brackets:

${ \sf{ax - bx = ab - ax}} \\ { \sf{2ax - bx= ab }}$

Factorise out x:

${ \sf{x(2a - b) = ab}} \\ { \sf{x(2a - b) = ab}} \\ { \sf{x = \frac{ab}{2a - b} }}$

Answer 2

Answer:

Hello,

Step-by-step explanation:

$x(a-b)=a(b-x)\\\\x(a-b)=ab-ax\\\\x(a-b)+ax=ab\\\\x(a-b+a)=ab\\\\x(2a-b)=ab\\\\\\x=\dfrac{ab}{2a-b} \ if\ 2a-b\neq 0$