Question

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

Answer 1

Hello,

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=(ab)/(2a-b) \ if\ 2a-b\\eq 0`

Answer 2

`{ \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 = (ab)/(2a - b) }}`