Make \( x \) the subject of the equation:
\[ 5(wx - v) = 9(x + v) \]
Answer (3)
expand the brackets first 5(wx-v) = 9(x + v) 5wx - 5v = 9x + 9v
Get all x's on one side and everything on on the other side 9x - 5wx = 9v + 5v
factorise out the x x(9-5w) = 14v
then divide by 9-5w x = 14v/(9-5w)
5 ( w x − v ) = 9 ( x + v ) 5 w x − 5 v = 9 x + 9 v 5 w x − 9 x = 14 v x ( 5 w − 9 ) = 14 v x = 5 w − 9 14 v
To make x the subject of the equation 5 ( w x − v ) = 9 ( x + v ) , first expand and rearrange the equation to gather all x terms together. Then, isolate x by dividing by the coefficient on x to find x = 5 w − 9 14 v .
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