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

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Answer:

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

User Chen Pang
by
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6 votes

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 = (ab)/(2a - b) }}

User Stepan Grigoryan
by
8.2k points

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