Make x the subject of 5(x-3) = y(4-3x)

First expand out the brackets: 5x-15 = 4y -3xy Then re-arrange to bring all the x terms to one side: 5x+3xy = 4y +15 Now factorise: x(5+3y) = 4y + 15 Now we have isolated the x term, we can divide both sides by (5+3y), giving and end solution of x = (4y+15)/(5-3y)