Make X the subject of the formula y=2-x/3+2x

2 answers

If your queston means:

y = ( 2 - x ) / ( 3 + 2 x )

Then multiply both sides by 3 + 2 x

y ( 3 + 2 x ) = 2 - x

3 y + 2 x y = 2 - x

Subtract 3 y to both sides

2 x y = 2 - x - 3 y

Add x to both sides

2 x y + x = 2 - 3 y

x ( 2 y + 1 ) = 2 - 3 y

x = ( 2 - 3 y ) / ( 2 y + 1)
Good method